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

AIMS Mathematics

article

Ishtiaq Ali¹  Sami Ullah Khan² 

[1] Department of Mathematics and Statistics, College of Science, King Faisal University;Department of Mathematics, City University of Science and Information Technology Peshawar

关键词: stochastic COVID-19 model;    reproduction ratio;    stability analysis;    Legendre spectral method;   

DOI  :  10.3934/math.2023210

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY