MODELLING AND STABILITY OF EPIDEMIC MODEL WITH FREE-LIVING PATHOGENS GROWING IN THE ENVIRONMENT | Zendy

Yifan Xing | Zendy; Liang Zhang | Zendy; Xinghao Wang | Zendy

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MODELLING AND STABILITY OF EPIDEMIC MODEL WITH FREE-LIVING PATHOGENS GROWING IN THE ENVIRONMENT

Author(s) -

Yifan Xing,

Liang Zhang,

Xinghao Wang

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20180269

Subject(s) - basic reproduction number , stability theory , epidemic model , stability (learning theory) , mathematics , mathematical economics , biology , computer science , physics , demography , population , nonlinear system , sociology , quantum mechanics , machine learning

To understand the impact of free-living pathogens (FLP) on the epidemics, an epidemic model with FLP is constructed. The global dynamics of our model are determined by the basic reproduction number R0. If R0 < 1, the disease free equilibrium is globally asymptotically stable, and if R0 > 1, the endemic equilibrium is globally asymptotically stable. Some numerical simulations are also carried out to illustrate our analytical results.

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