Nonlinear Dynamics of SARS-CoV2 Virus

Mishra, Aditya Mani; Agarwal, Ritu; Purohıt, Sunıl Dutt; Jangid, Kamlesh

doi:10.1201/9781003038399-15

Cited by 4 publications

(2 citation statements)

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“…Recently, various models have been created to study the spread of the COVID-19 virus, its mutations, effect of lockdown, and other precautionary measures (see, e.g., Refs. [15] , [16] , [17] , [18] , [19] , [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] , [29] , [30] , [31] ).…”

Section: Spread Of New Sars-cov-2 Variant In Indiamentioning

confidence: 99%

Mathematical model and interpretation of crowding effects on SARS-CoV-2 using Atangana-Baleanu fractional operator

Pandey

Chandola

Agarwal

2022

Methods of Mathematical Modelling

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Section: Spread Of New Sars-cov-2 Variant In Indiamentioning

confidence: 99%

Mathematical model and interpretation of crowding effects on SARS-CoV-2 using Atangana-Baleanu fractional operator

Pandey

Chandola

Agarwal

2022

Methods of Mathematical Modelling

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“…Predicting the course of epidemic diseases in a population and how to control them are the main research topics of mathematical epidemiology [1][2][3]. Epidemiological diseases can be quite deadly as experienced from the COVID-19.…”

Section: Introductionmentioning

confidence: 99%

Farklı İnsidans Oranlarının Etkisi Altında Bir SEIR Epidemiyolojik Modelinin Optimal Kontrolü

Avcı

2023

Düzce Üniversitesi Bilim Ve Teknoloji Dergisi

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In this study, optimal control problem for a fractional SEIR epidemiological model under the effect of bilinear and saturate incidence rate functions is investigated. These rates play an important role in the realistic modeling of an epidemic by describing the interaction between susceptible and infected individuals of a population. This interaction is highly decisive in whether the disease will turn into a pandemic or not. Therefore, these functions can be defined in different forms depending on the course of the epidemic. The model discussed in this study is defined in terms of Caputo. Dimensional compatibility is guaranteed before posing the optimal control problem. The main objective of the proposed optimal control problem is to minimize the number of infected individuals and the cost of education given to susceptible individuals as a preventive measure. Euler-Lagrange equations corresponding to the optimality conditions of the considered model are first determined by Hamiltonian’s formalism. Afterward, the optimal system with right and left fractional Caputo derivatives are solved numerically by the forward-backward sweep method combined with the fractional Euler method. Optimal solutions are interpreted graphically for varying values of the incidence rate coefficients and the fractional parameter. According to the simulation results, it is seen that the education given to susceptible individuals is significantly effective in slowing down the epidemic.

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