mmnsa

Mathematical Modelling and Numerical Simulation with Applications

2791-8564

Mehmet YAVUZ

10.53391/mmnsa.2022.008

Bioinformatics and Computational Biology Applied Mathematics

Biyoinformatik ve Hesaplamalı Biyoloji Uygulamalı Matematik

Asymptotic behavior and semi-analytic solution of a novel compartmental biological model

https://orcid.org/0000-0003-2177-3806

Sinan

Muhammad

School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731

https://orcid.org/0000-0001-6916-1062

Leng

Jinsong

School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731

https://orcid.org/0000-0002-1415-8760

Anjum

Misbah

International School of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, 611731

https://orcid.org/0000-0002-0176-2758

Fiaz

Mudassar

Department of Mathematics, COMSATS University Islamabad, Lahore Campus

06 30 2022

2 2 88 107 03 24 2022 06 21 2022

2021

Mathematical Modelling and Numerical Simulation with Applications

This study proposes a novel mathematical model of COVID-19 and its qualitative properties. Asymptotic behavior of the proposed model with local and global stability analysis is investigated by considering the Lyapunov function. The mentioned model is globally stable around the disease-endemic equilibrium point conditionally. For a better understanding of the disease propagation with vaccination in the population, we split the population into five compartments: susceptible, exposed, infected, vaccinated, and recovered based on the fundamental Kermack-McKendrick model. He's homotopy perturbation technique is used for the semi-analytical solution of the suggested model. For the sake of justification, we present the numerical simulation with graphical results.

Local asymptotic stability global asymptotic stability Routh-Hurwitz criterion COVID-19 infectious disease modeling

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