Dynamics and simulations of stochastic COVID-19 epidemic model using Legendre spectral collocation method-Reference-Cited by-同舟云学术

Dynamics and simulations of stochastic COVID-19 epidemic model using Legendre spectral collocation method

Published:2023 Issue:2 Volume:8 Page:4220-4236
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ali Ishtiaq¹,Khan Sami Ullah²

Affiliation:

1. Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400, Al-Ahsa 31982, Saudi Arabia

2. Department of Mathematics, City University of Science and Information Technology Peshawar, KP 2500, Pakistan

Abstract

<abstract><p>The aim of this study is to investigate the dynamics of epidemic transmission of COVID-19 SEIR stochastic model with generalized saturated incidence rate. We assume that the random perturbations depends on white noises, which implies that it is directly proportional to the steady states. The existence and uniqueness of the positive solution along with the stability analysis is provided under disease-free and endemic equilibrium conditions for asymptotically stable transmission dynamics of the model. An epidemiological metric based on the ratio of basic reproduction is used to describe the transmission of an infectious disease using different parameters values involve in the proposed model. A higher order scheme based on Legendre spectral collocation method is used for the numerical simulations. For the better understanding of the proposed scheme, a comparison is made with the deterministic counterpart. In order to confirm the theoretical analysis, we provide a number of numerical examples.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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