流行病模型
2019-20冠状病毒爆发
2019年冠状病毒病(COVID-19)
应用数学
数学
统计物理学
严重急性呼吸综合征冠状病毒2型(SARS-CoV-2)
物理
病毒学
医学
人口
内科学
环境卫生
爆发
传染病(医学专业)
疾病
作者
Rahim Ud Din,Ebrahem A. Algehyne
标识
DOI:10.1016/j.rinp.2021.103970
摘要
This paper is about a new COVID-19 SIR model containing three classes; Susceptible S(t), Infected I(t), and Recovered R(t) with the Convex incidence rate. Firstly, we present the subject model in the form of differential equations. Secondly, "the disease-free and endemic equilibrium" is calculated for the model. Also, the basic reproduction number R0 is derived for the model. Furthermore, the Global Stability is calculated using the Lyapunov Function construction, while the Local Stability is determined using the Jacobian matrix. The numerical simulation is calculated using the Non-Standard Finite Difference (NFDS) scheme. In the numerical simulation, we prove our model using the data from Pakistan. "Simulation" means how S(t), I(t), and R(t) protection, exposure, and death rates affect people with the elapse of time.
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