A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis

Alkahtani, Badr Saad T.

doi:10.1016/j.chaos.2020.110006

Cited by 47 publications

(37 citation statements)

References 12 publications

(16 reference statements)

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“…In other words, how stochastic perturbations affect the deterministic model is described by Eqs. (1)- (8) in this paper. Due to some random environmental effects, for the rest of the paper, we consider the following perturbation terms: we replace in Eq.…”

Section: Description Of the Model Predicting The Novel Coronavirusmentioning

confidence: 73%

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Analysis of the stochastic model for predicting the novel coronavirus disease

Sene

2020

Adv Differ Equ

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In this paper, we propose a mathematical model to predict the novel coronavirus. Due to the rapid spread of the novel coronavirus disease in the world, we add to the deterministic model of the coronavirus the terms of the stochastic perturbations. In other words, we consider in this paper a stochastic model to predict the novel coronavirus. The equilibrium points of the deterministic model have been determined, and the reproduction number of our deterministic model has been implemented. The asymptotic behaviors of the solutions of the stochastic model around the equilibrium points have been studied. The numerical investigations and the graphical representations obtained with the novel stochastic model are made using the classical stochastic numerical scheme.

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Section: Description Of the Model Predicting The Novel Coronavirusmentioning

confidence: 73%

“…In [ 7 ], Li et al have proposed the SEIQDR model for predicting the novel coronavirus. In [ 8 ], Alkahtani et al have studied the stability analysis and suggested a numerical scheme for their proposed model. There exist many investigations related to the epidemic models in general [ 9 – 11 ].…”

Section: Introductionmentioning

confidence: 99%

Analysis of the stochastic model for predicting the novel coronavirus disease

Sene

2020

Adv Differ Equ

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“…Therefore, scientists have recently presented some fractional-order mathematical models for COVID-19 (see for example, Atangana [59] , Khan and Atangana [60] , Tuan et al. [61] , Higazy [62] , Alkahtani and Alzaid [63] , Zhang [64] , Yadav and Verma [65] , Baleanu et al. [66] , Mohammad and Trounev [67] , and Zhang and Jain [68] ).…”

Section: Introductionmentioning

confidence: 99%

Complex dynamics in susceptible-infected models for COVID-19 with multi-drug resistance

Matouk

2020

Chaos, Solitons & Fractals

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Highlights Complex dynamics in a susceptible-infected (SI) model for COVID-19 with multi-drug resistance (MDR) and its fractional-order counterpart are investigated. New fractional Routh-Hurwitz (FRH) conditions are introduced and proved for the fractional case (0,2]. Local stability of the new SIMDR model is investigated for all the multi-drug resistance steady sates using the FRH scheme. Chaotic attractors are obtained in both the integer and fractional-order SIMDR models. This study helps to understand complex behaviors and predict spread of severe infectious diseases such as COVID-19.

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“…In this paper, we propose a new deterministic ODE model, which has four ODEs, for the study of spread and control of infectious disease of COVID-19. COVID-19 is an active research topic not only in the community of mathematical epidemiology group [ 1 , 6 , 9 , 28 , 41 ] but also the problem is of interests in various scientific communities including the group of modeling biological systems [ 13 , 8 ], biomedical engineering [ 33 , 5 ] and signal processing [ 46 ], etc. To prepare a new mathematical model for a specific disease, some population-specific assumptions are important to make the model simple.…”

Section: Introductionmentioning

confidence: 99%

Modeling the dispersal effect to reduce the infection of COVID-19 in Bangladesh

Kabir¹,

Gani²,

Mandal³

et al. 2020

Sensors International

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In this paper, we propose a four compartmental model to understand the dynamics of infectious disease COVID-19. We show the boundedness and non-negativity of solutions of the model. We analytically calculate the basic reproduction number of the model and perform the stability analysis at the equilibrium points to understand the epidemic and endemic cases based on the basic reproduction number. Our analytical results show that disease free equilibrium point is asymptotically stable (unstable) and endemic equilibrium point is unstable (asymptotically stable) if the basic reproduction number is less than (greater than) unity. The dispersal rate of the infected population and the social awareness control parameter are the main focus of this study. In our model, these parameters play a vital role to control the spread of COVID-19. Our results reveal that regional lockdown and social awareness (e.g., wearing a face mask, washing hands, social distancing) can reduce the pandemic of the current outbreak of novel coronavirus in a most densely populated country like Bangladesh.

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A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis

Cited by 47 publications

References 12 publications

Analysis of the stochastic model for predicting the novel coronavirus disease

Analysis of the stochastic model for predicting the novel coronavirus disease

Complex dynamics in susceptible-infected models for COVID-19 with multi-drug resistance

Modeling the dispersal effect to reduce the infection of COVID-19 in Bangladesh

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