A NON-AUTONOMOUS PREDATOR-PREY MODEL WITH INFECTED PREY

被引：10
|
作者：
Lu, Yang [1 ]
Wang, Xia [2 ]
Liu, Shengqiang [3 ]
机构：
[1] Northeast Petr Univ, Coll Math & Stat, Daqing 163318, Peoples R China
[2] Xinyang Normal Univ, Coll Math & Stat, Xinyang 464000, Peoples R China
[3] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 09期
关键词：
Non-autonomous predator-prey model; infected prey; disease-induced extinction; population dynamics; persistence; EPIDEMIC MODEL; DISEASE; PERMANENCE; SYSTEM; EXTINCTION; DYNAMICS; POPULATION; DELAY;
D O I：
10.3934/dcdsb.2018082
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A non-constant eco-epidemiological model with SIS-type infectious disease in prey is formulated and investigated, it is assumed that the disease is endemic in prey before the invasion of predator and that predation is more likely on infected prey than on the uninfected. Sufficient conditions for both permanence and extinction of the infected prey, and the necessary conditions for the permanence of the infected prey are established. It is shown that the predation preference to infected prey may even increase the possibility of disease endemic, and that the introduction of new resource for predator could be helpful for it to eradicate the infected prey. Numerical simulations have been performed to verify/extend our analytical results.
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页码：3817 / 3836
页数：20
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