Global transmission dynamic of SIR model in the time of SARS-CoV-2 | Zendy

Zhaowei Tong | Zendy; Yu-Pei Lv | Zendy; Rahim Ud Din | Zendy; Ibrahim Mahariq | Zendy; Gul Rahmat | Zendy

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Global transmission dynamic of SIR model in the time of SARS-CoV-2

Author(s) -

Zhaowei Tong,

Yu-Pei Lv,

Rahim Ud Din,

Ibrahim Mahariq,

Gul Rahmat

Publication year - 2021

Publication title -

results in physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.743

H-Index - 56

ISSN - 2211-3797

DOI - 10.1016/j.rinp.2021.104253

Subject(s) - basic reproduction number , stability (learning theory) , epidemic model , transmission (telecommunications) , population , mathematics , function (biology) , matrix (chemical analysis) , covid-19 , work (physics) , transmission rate , statistical physics , computer science , physics , biology , demography , chemistry , evolutionary biology , telecommunications , medicine , disease , sociology , chromatography , machine learning , pathology , thermodynamics , infectious disease (medical specialty)

This current work studies a new mathematical model for SARS-CoV-2. We show how immigration, protection, death rate, exposure, cure rate and interaction of infected people with healthy people affect the population. Our model is SIR model, which has three classes including susceptible, infected and recovered respectively. Here, we find the basic reproduction number and local stability through jacobean matrix. Lyapunvo function theory is used to calculate the global stability for the problem under investigation. Also a nonstandard finite difference sachem (NSFDS) is used to simulate the results.

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