Title : ( SEIaIsQRS EPIDEMIC MODEL FOR COVID-19 BY USING COMPARTMENTAL ANALYSIS AND NUMERICAL SIMULATION )
Authors: Hossein Gholami Chahkand , Mortaza Gachpazan , Majid Erfanian ,Access to full-text not allowed by authors
Abstract
In this paper, we developed a SEIaIsQRS epidemic model for COVID-19 by using compartmental analysis. In this article, the dynamics of COVID-19 are divided into six compartments: susceptible, exposed, asymp-tomatically infected, symptomatically infected, quarantined, and recovered. The positivity and boundedness of the solutions have been proven. We calculated the basic reproduction number for our model and found both disease-free and endemic equilibria. It is shown that the disease-free equilibrium is globally asymptotically stable. We explained under what conditions, the endemic equilibrium point is locally asymptotically stable. Additionally, the center manifold theorem is applied to examine whether our model undergoes a backward bifurcation at R0 = 1 or not. To finish, we have confirmed our theoretical results by numerical simulation.
Keywords
, Backward bifurcation, Globally asymptotically stable, Basic reproduction number.@article{paperid:1102306,
author = {Gholami Chahkand, Hossein and Gachpazan, Mortaza and مجید عرفانیان},
title = {SEIaIsQRS EPIDEMIC MODEL FOR COVID-19 BY USING COMPARTMENTAL ANALYSIS AND NUMERICAL SIMULATION},
journal = {Computational Methods for Differential Equations},
year = {2024},
month = {August},
issn = {2345-3982},
keywords = {Backward bifurcation; Globally asymptotically stable; Basic reproduction number.},
}
%0 Journal Article
%T SEIaIsQRS EPIDEMIC MODEL FOR COVID-19 BY USING COMPARTMENTAL ANALYSIS AND NUMERICAL SIMULATION
%A Gholami Chahkand, Hossein
%A Gachpazan, Mortaza
%A مجید عرفانیان
%J Computational Methods for Differential Equations
%@ 2345-3982
%D 2024