Chaos Solitons & Fractals

Article	Citations
Analysis and forecast of COVID-19 spreading in China, Italy and France	708
Time series forecasting of COVID-19 transmission in Canada using LSTM networks	661
A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative	538
Applications of machine learning and artificial intelligence for Covid-19 (SARS-CoV-2) pandemic: A review	538
A SIR model assumption for the spread of COVID-19 in different communities	455
Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan	423
Application of deep learning for fast detection of COVID-19 in X-Rays using nCOVnet	421
Predictions for COVID-19 with deep learning models of LSTM, GRU and Bi-LSTM	411
Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination?	376
Modeling and forecasting the COVID-19 pandemic in India	325
Short-term forecasting COVID-19 cumulative confirmed cases: Perspectives for Brazil	323
Deep learning methods for forecasting COVID-19 time-Series data: A Comparative study	316
A deep learning and grad-CAM based color visualization approach for fast detection of COVID-19 cases using chest X-ray and CT-Scan images	293
Recognition of COVID-19 disease from X-ray images by hybrid model consisting of 2D curvelet transform, chaotic salp swarm algorithm and deep learning technique	283
A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative	281
COVID-ABS: An agent-based model of COVID-19 epidemic to simulate health and economic effects of social distancing interventions	273
Real-time forecasts and risk assessment of novel coronavirus (COVID-19) cases: A data-driven analysis	271
A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control	265
A model based study on the dynamics of COVID-19: Prediction and control	264
CoroDet: A deep learning based classification for COVID-19 detection using chest X-ray images	264
Prediction and analysis of COVID-19 positive cases using deep learning models: A descriptive case study of India	242
A mathematical model for COVID-19 transmission by using the Caputo fractional derivative	233
Convolutional capsnet: A novel artificial neural network approach to detect COVID-19 disease from X-ray images using capsule networks	231
Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia	226
Chaotic behaviour of fractional predator-prey dynamical system	220

Prediction of epidemic trends in COVID-19 with logistic model and machine learning technics	213
Comparison of deep learning approaches to predict COVID-19 infection	206
A mathematical model for COVID-19 transmission dynamics with a case study of India	186
Time series forecasting of Covid-19 using deep learning models: India-USA comparative case study	184
Diagnosis and detection of infected tissue of COVID-19 patients based on lung x-ray image using convolutional neural network approaches	175
A new study of unreported cases of 2019-nCOV epidemic outbreaks	172
Comparative analysis and forecasting of COVID-19 cases in various European countries with ARIMA, NARNN and LSTM approaches	169
Modeling and forecasting of epidemic spreading: The case of Covid-19 and beyond	168
Modeling the impact of non-pharmaceutical interventions on the dynamics of novel coronavirus with optimal control analysis with a case study	156
A new adaptive synchronization and hyperchaos control of a biological snap oscillator	152
Analysis of a mathematical model for COVID-19 population dynamics in Lagos, Nigeria	151
Association between weather data and COVID-19 pandemic predicting mortality rate: Machine learning approaches	145
CVDNet: A novel deep learning architecture for detection of coronavirus (Covid-19) from chest x-ray images	144
On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative	143
A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment	143
Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique	141
Estimation of COVID-19 dynamics “on a back-of-envelope”: Does the simplest SIR model provide quantitative parameters and predictions?	139
Time Series Analysis and Forecast of the COVID-19 Pandemic in India using Genetic Programming	139
Global stability and cost-effectiveness analysis of COVID-19 considering the impact of the environment: using data from Ghana	137
Assessment of lockdown effect in some states and overall India: A predictive mathematical study on COVID-19 outbreak	136
New concept in calculus: Piecewise differential and integral operators	134
Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells	133
Role of intelligent computing in COVID-19 prognosis: A state-of-the-art review	130
Novel trial functions and rogue waves of generalized breaking soliton equation via bilinear neural network method	129
Fractional order mathematical modeling of COVID-19 transmission	129
The impact of COVID-19 pandemic upon stability and sequential irregularity of equity and cryptocurrency markets	128
Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control	127
Statistical analysis of forecasting COVID-19 for upcoming month in Pakistan	126
Predicting turning point, duration and attack rate of COVID-19 outbreaks in major Western countries	125
Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative	124
A discrete memristor model and its application in Hénon map	119
Applications of artificial intelligence in battling against covid-19: A literature review	118
Analysis on novel coronavirus (COVID-19) using machine learning methods	115
Analysis of Spatial Spread Relationships of Coronavirus (COVID-19) Pandemic in the World using Self Organizing Maps	114
Neural network powered COVID-19 spread forecasting model	114
A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation	112
A python based support vector regression model for prediction of COVID19 cases in India	110
Spatio-temporal estimation of the daily cases of COVID-19 in worldwide using random forest machine learning algorithm	109
Mathematical analysis of a fractional differential model of HBV infection with antibody immune response	108
Time series prediction for the epidemic trends of COVID-19 using the improved LSTM deep learning method: Case studies in Russia, Peru and Iran	108
Robustness of LSTM neural networks for multi-step forecasting of chaotic time series	107
The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization	107
Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system	107
Double image encryption algorithm based on neural network and chaos	106
SIR epidemic model with Mittag–Leffler fractional derivative	105
New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function	105
Analysis of the impact of COVID-19 on the correlations between crude oil and agricultural futures	104
Modeling and prediction of COVID-19 in Mexico applying mathematical and computational models	104
Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation	103
Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic	101

Prediction of COVID-19 confirmed cases combining deep learning methods and Bayesian optimization	101
Stochastic resonance in a metal-oxide memristive device	101
Mathematical analysis of spread and control of the novel corona virus (COVID-19) in China	100
Forecasting of COVID-19 using deep layer Recurrent Neural Networks (RNNs) with Gated Recurrent Units (GRUs) and Long Short-Term Memory (LSTM) cells	99
Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma	99
Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data	99
Adaptive chaotic maps and their application to pseudo-random numbers generation	97
Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model	97
Analysis of fractional blood alcohol model with composite fractional derivative	96
Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation	96
Forecasting of COVID-19 time series for countries in the world based on a hybrid approach combining the fractal dimension and fuzzy logic	94
Randomness improvement of chaotic maps for image encryption in a wireless communication scheme using PIC-microcontroller via Zigbee channels	94
Development of new hybrid model of discrete wavelet decomposition and autoregressive integrated moving average (ARIMA) models in application to one month forecast the casualties cases of COVID-19	93
Optimal policies for control of the novel coronavirus disease (COVID-19) outbreak	92
Analysis of spatiotemporal characteristics of big data on social media sentiment with COVID-19 epidemic topics	91
Computational modelling of nanofluid flow over a curved stretching sheet using Koo–Kleinstreuer and Li (KKL) correlation and modified Fourier heat flux model	90
An efficient computational approach for a fractional-order biological population model with carrying capacity	90
Fractional Hausdorff grey model and its properties	90
Automatic distinction between COVID-19 and common pneumonia using multi-scale convolutional neural network on chest CT scans	89
Solution of a COVID-19 model via new generalized Caputo-type fractional derivatives	89
Spectral Entropy Analysis and Synchronization of a Multi-Stable Fractional-Order Chaotic System using a Novel Neural Network-Based Chattering-Free Sliding Mode Technique	88
Perturbation of chirped localized waves in a dual-power law nonlinear medium	87
A model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws	87
Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber	87
Modeling and prediction of COVID-19 pandemic using Gaussian mixture model	87
On the development of variable-order fractional hyperchaotic economic system with a nonlinear model predictive controller	86
Time series prediction of COVID-19 by mutation rate analysis using recurrent neural network-based LSTM model	86
Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population	85
Characterization of the COVID-19 pandemic and the impact of uncertainties, mitigation strategies, and underreporting of cases in South Korea, Italy, and Brazil	85
Hidden coexisting hyperchaos of new memristive neuron model and its application in image encryption	85
Forecasting of COVID-19 pandemic: From integer derivatives to fractional derivatives	84
Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative	84
On forecasting the spread of the COVID-19 in Iran: The second wave	83
A hybrid multi-scale model of COVID-19 transmission dynamics to assess the potential of non-pharmaceutical interventions	83
On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov–Petrovskii–Piskunov (KPP) equation	83
A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus	82
Forecasting Brazilian and American COVID-19 cases based on artificial intelligence coupled with climatic exogenous variables	81
Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version	81
Highly dispersive optical solitons of equation with various polynomial nonlinearity law	80
On the variable-order fractional memristor oscillator: Data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control	79
Sensitivity assessment and optimal economic evaluation of a new COVID-19 compartmental epidemic model with control interventions	79
Modeling COVID-19 epidemic in Heilongjiang province, China	79
An application of the Atangana-Baleanu fractional derivative in mathematical biology: A three-species predator-prey model	77
A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability	76
COVID-19 spreading in Rio de Janeiro, Brazil: Do the policies of social isolation really work?	76
Intelligent skin cancer detection applying autoencoder, MobileNetV2 and spiking neural networks	76
Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system	76
A survey on artificial intelligence approaches in supporting frontline workers and decision makers for the COVID-19 pandemic	75
Noise-assisted persistence and recovery of memory state in a memristive spiking neuromorphic network	75
Parameter estimation of uncertain differential equation with application to financial market	75
Data analysis of Covid-19 pandemic and short-term cumulative case forecasting using machine learning time series methods	75
Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation	75
Deep recurrent neural networks with finite-time terminal sliding mode control for a chaotic fractional-order financial system with market confidence	74
Dynamical study of fractional order mutualism parasitism food web module	74
Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model	74
Assessing the role of quarantine and isolation as control strategies for COVID-19 outbreak: A case study	73
Estimating the infection horizon of COVID-19 in eight countries with a data-driven approach	73
On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions	73
Delayed hepatitis B epidemic model with stochastic analysis	73
A fractional-order SIRD model with time-dependent memory indexes for encompassing the multi-fractional characteristics of the COVID-19	72
A new fractal pattern feature generation function based emotion recognition method using EEG	72
Identifying influential nodes in complex networks from global perspective	72
An epidemiological model with voluntary quarantine strategies governed by evolutionary game dynamics	72
Coronavirus pandemic: A predictive analysis of the peak outbreak epidemic in South Africa, Turkey, and Brazil	71
Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness	71
An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain	71
Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers	71
Optimal Control Design of Impulsive SQEIAR Epidemic Models with Application to COVID-19	70
An empirical overview of nonlinearity and overfitting in machine learning using COVID-19 data	70
Study of ARIMA and least square support vector machine (LS-SVM) models for the prediction of SARS-CoV-2 confirmed cases in the most affected countries	70
A chaotic circuit based on a physical memristor	70
A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations	69
A mathematical study on the spread of COVID-19 considering social distancing and rapid assessment: The case of Jakarta, Indonesia	69
A novel CFD analysis to minimize the spread of COVID-19 virus in hospital isolation room	69
Forecast and evaluation of COVID-19 spreading in USA with reduced-space Gaussian process regression	68
A nonlinear epidemiological model considering asymptotic and quarantine classes for SARS CoV-2 virus	68
An efficient algorithm for solving the fractional optimal control of SIRV epidemic model with a combination of vaccination and treatment	67
Firing patterns of an improved Izhikevich neuron model under the effect of electromagnetic induction and noise	67
Using handpicked features in conjunction with ResNet-50 for improved detection of COVID-19 from chest X-ray images	67
Vibrational mono-/bi-resonance and wave propagation in FitzHugh–Nagumo neural systems under electromagnetic induction	67

Coupled neurons with multi-objective optimization benefit incipient fault identification of machinery	66
Analysis for fractional dynamics of Ebola virus model	66
Forecasting COVID-19 pandemic: A data-driven analysis	66
A hybrid analytical and numerical analysis of ultra-short pulse phase shifts	66
Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications	66
Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks	65
Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective	65
A new fractional-order chaos system of Hopfield neural network and its application in image encryption	65
Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model	65
Belief entropy-of-entropy and its application in the cardiac interbeat interval time series analysis	65
Bifurcations to bursting and spiking in the Chay neuron and their validation in a digital circuit	64
Bibliometric method for mapping the state of the art of scientific production in Covid-19	64
Fractional-order modeling and nonlinear dynamic analyses of the rotor-bearing-seal system	64
Application of a novel fractional grey prediction model with time power term to predict the electricity consumption of India and China	64
Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type	64
The dynamics of epidemic spreading on signed networks	64
Complex dynamics of Kopel model with nonsymmetric response between oligopolists	63
Forecasting spread of COVID-19 using google trends: A hybrid GWO-deep learning approach	63
Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrödinger system in an inhomogeneous plasma	63
Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay	63
Optimization of micromixer with Cantor fractal baffle based on simulated annealing algorithm	63
Modeling of measles epidemic with optimized fractional order under Caputo differential operator	62
The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction	62
Computational study on the dynamics of fractional order differential equations with applications	62
A New Attractive Analytic Approach for Solutions of Linear and Nonlinear Neutral Fractional Pantograph Equations	62
Logistic equation and COVID-19	62
An image encryption algorithm based on dynamic row scrambling and Zigzag transformation	62
Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity	61
Design and DSP implementation of a fractional-order detuned laser hyperchaotic circuit with applications in image encryption	61
A new n-dimensional conservative chaos based on Generalized Hamiltonian System and its’ applications in image encryption	61
Forecasting Chinese carbon emissions using a novel grey rolling prediction model	61
Partial derivative Nonlinear Global Pandemic Machine Learning prediction of COVID 19	61
An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus	60
Mathematical modeling of pine wilt disease with Caputo fractional operator	60
What is the most suitable Lyapunov function?	60
Estimating the parameters of susceptible-infected-recovered model of COVID-19 cases in India during lockdown periods	59
Memristor synapse-coupled piecewise-linear simplified Hopfield neural network: Dynamics analysis and circuit implementation	59
A new one-dimensional chaotic system with applications in image encryption	59
Comment on “Shallow water in an open sea or a wide channel: Auto- and non-auto-Bäcklund transformations with solitons for a generalized (	59
Fractional model of COVID-19 applied to Galicia, Spain and Portugal	59
Fuzzy clustering method to compare the spread rate of Covid-19 in the high risks countries	58
Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mech	58
Second-grade fluid model with Caputo–Liouville generalized fractional derivative	58
New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives	58
Results on system of Atangana–Baleanu fractional order Willis aneurysm and nonlinear singularly perturbed boundary value problems	58
Multiobjective optimization inspired by behavior of jellyfish for solving structural design problems	58
The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows	58
Projections and fractional dynamics of COVID-19 with optimal control strategies	58
Investigating the dynamics of COVID-19 pandemic in India under lockdown	58
Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system	58
Image encryption algorithm with random scrambling based on one-dimensional logistic self-embedding chaotic map	57
Solitons and breather waves for the generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics, ocean dynamics and plasma physics	57
A multi-group SEIRA model for the spread of COVID-19 among heterogeneous populations	57
Forecasting the cumulative number of confirmed cases of COVID-19 in Italy, UK and USA using fractional nonlinear grey Bernoulli model	57
Non-fractional and fractional mathematical analysis and simulations for Q fever	57
A new link prediction in multiplex networks using topologically biased random walks	56
Design and realization of discrete memristive hyperchaotic map with application in image encryption	56
A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach	56
Modeling and forecasting the spread and death rate of coronavirus (COVID-19) in the world using time series models	56
Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model	55
A fractional order model for Ebola Virus with the new Caputo fractional derivative without singular kernel	55
Dispersion entropy-based Lempel-Ziv complexity: A new metric for signal analysis	55
Environmental persistence influences infection dynamics for a butterfly pathogen via new generalised Caputo type fractional derivative	55
Regarding new numerical solution of fractional Schistosomiasis disease arising in biological phenomena	55
An epidemic model SIPHERD and its application for prediction of the spread of COVID-19 infection in India	55
On three-dimensional variable order time fractional chaotic system with nonsingular kernel	54
Chaos based optics inspired optimization algorithms as global solution search approach	54
An Emotion Care Model using Multimodal Textual Analysis on COVID-19	54
The effects of small-sided soccer games on tactical behavior and collective dynamics: A systematic review	54
SBDiEM: A new mathematical model of infectious disease dynamics	54
An SEIARD epidemic model for COVID-19 in Mexico: Mathematical analysis and state-level forecast	54
Modeling, analysis and prediction of new variants of covid-19 and dengue co-infection on complex network	54
Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces	54
Forecasting the patterns of COVID-19 and causal impacts of lockdown in top five affected countries using Bayesian Structural Time Series Models	54
A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems	54
Dynamic analysis of a mathematical model with health care capacity for COVID-19 pandemic	53
Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom	53
Dynamics and density function analysis of a stochastic SVI epidemic model with half saturated incidence rate	53
Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative	53
Solar energy aspects of gyrotactic mixed bioconvection flow of nanofluid past a vertical thin moving needle influenced by variable Prandtl number	53
A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative	52
Simple colour image cryptosystem with very high level of security	52
Simulation and experimental validation of a non-equilibrium chaotic system	52
Strict dissipativity synchronization for delayed static neural networks: An event-triggered scheme	52
Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method	51
Abundant analytical and numerical solutions of the fractional microbiological densities model in bacteria cell as a result of diffusion mechanisms	51
Designing a bidirectional, adaptive neural interface incorporating machine learning capabilities and memristor-enhanced hardware	50
A numerical simulation of fractional order mathematical modeling of COVID-19 disease in case of Wuhan China	50
Dynamics analysis, hardware implementation and engineering applications of novel multi-style attractors in a neural network under electromagnetic radiation	49
Determinants of the infection rate of the COVID-19 in the U.S. using ANFIS and virus optimization algorithm (VOA)	49
Real-time RGB image encryption for IoT applications using enhanced sequences from chaotic maps	49
Computational solutions of the HIV-1 infection of CD4+T-cells fra	49
Operational matrix for Atangana–Baleanu derivative based on Genocchi polynomials for solving FDEs	49
Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays★	49
Cubic–quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov’s method	49