Crowding effects on the dynamics of COVID-19 mathematical model

Advances in Difference Equations

article

Zhang, Zizhen¹  Zeb, Anwar²  Alzahrani, Ebraheem³  Iqbal, Sohail² 

[1] School of Management Science and Engineering, University of Finance and Economics;Department of Mathematics, COMSATS University Islamabad;Department of Mathematics, Faculty of Science, King Abdulaziz University

关键词: Mathematical COVID-19 model;    Nonlinear incidence rate;    Reproduction number;    Stability analysis;    Nonstandard finite difference scheme;   

DOI  :  10.1186/s13662-020-03137-3

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

A disastrous coronavirus, which infects a normal person through droplets of infected person, has a route that is usually by mouth, eyes, nose or hands. These contact routes make it very dangerous as no one can get rid of it. The significant factor of increasing trend in COVID19 cases is the crowding factor, which we named “crowding effects”. Modeling of this effect is highly necessary as it will help to predict the possible impact on the overall population. The nonlinear incidence rate is the best approach to modeling this effect. At the first step, the model is formulated by using a nonlinear incidence rate with inclusion of the crowding effect, then its positivity and proposed boundedness will be addressed leading to model dynamics using the reproductive number. Then to get the graphical results a nonstandard finite difference (NSFD) scheme and fourth order Runge–Kutta (RK4) method are applied.

【 授权许可】

CC BY