Impact on the predator population while lethal disease spreads in the prey

被引：3

作者：

Chen, Yongxue ^{[1
]}

Wen, Yongxian ^{[1
]}

机构：

[1] Fujian Agr & Forestry Univ, Coll Comp & Informat Sci, Fuzhou 350002, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 11期

关键词：

eco-epidemiological system; time delay; persistence; stability; Hopf bifurcation; ECO-EPIDEMIOLOGIC MODEL; MUTUAL INTERFERENCE; IMMIGRATION; INFECTION; STABILITY; SYSTEM; GROUSE;

D O I：

10.1002/mma.3737

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An eco-epidemiological model is proposed to interpret the impact of an infectious disease on ecosystem, where prey is infected by lethal bacteria and the consumption of infected prey contributes to the negative growth of predator population. Of course, the required time delay is incorporated into the model. The biodiversity conservation is concerned. Stability, persistence, and bifurcation are carried out. Finally, numerical simulations are performed to support the theoretical analysis. Copyright (C) 2016 JohnWiley & Sons, Ltd.

引用

页码：2883 / 2895

页数：13

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