| Volume 10, Number 1, 2020, Pages 55-70 DOI：10.11948/20180269 |
| Modelling and stability of epidemic model with free-living pathogens growing in the environment |
| Yifan Xing,Liang Zhang,Xinghao Wang |
| Keywords:Epidemics, free-living pathogen, basic reproduction number, global stability. |
| Abstract: |
| 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 $R_0$. If $R_0<1$, the disease free equilibrium is globally asymptotically stable, and if $R_0>1$, the endemic equilibrium is globally asymptotically stable. Some numerical simulations are also carried out to illustrate our analytical results. |
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