The Global dynamics of a SIR model considering competitions among multiple strains in patchy environments | Zendy

Chentong Li | Zendy; Jinyan Wang | Zendy; Jinhu Xu | Zendy; Yao Rong | Zendy

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The Global dynamics of a SIR model considering competitions among multiple strains in patchy environments

Author(s) -

Chentong Li,

Jinyan Wang,

Jinhu Xu,

Yao Rong

Publication year - 2022

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2022218

Subject(s) - competition (biology) , competitive exclusion , basic reproduction number , stability (learning theory) , dynamics (music) , epidemic model , work (physics) , biology , persistence (discontinuity) , covid-19 , strain (injury) , pandemic , dimension (graph theory) , mathematical economics , evolutionary biology , mathematics , computer science , ecology , physics , demography , disease , infectious disease (medical specialty) , engineering , pure mathematics , sociology , population , pathology , acoustics , machine learning , thermodynamics , geotechnical engineering , anatomy , medicine

Pandemics, such as Covid-19 and AIDS, tend to be highly contagious and have the characteristics of global spread and existence of multiple virus strains. To analyze the competition among different strains, a high dimensional SIR model studying multiple strains' competition in patchy environments is introduced in this work. By introducing the basic reproductive number of different strains, we found global stability conditions of disease-free equilibrium and persistence conditions of the model. The competition exclusion conditions of that model are also given. This work gives some insights into the properties of the multiple strain patchy model and all of the analysis methods used in this work could be used in other related high dimension systems.

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