A predator-prey model with infected prey

被引:262
|
作者
Hethcote, HW
Wang, WD
Han, LT
Zhien, M
机构
[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
[2] SW Normal Univ, Dept Math, Chongqing 400715, Peoples R China
[3] Natl Ctr AIDS STD Control & Prevent, Dept Res Virol & Immunol, Beijing 100050, Peoples R China
[4] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China
关键词
predator; prey; SIS; disease; equilibrium; stability;
D O I
10.1016/j.tpb.2004.06.010
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
A predator-prey model with logistic growth in the prey is modified to include an SIS parasitic infection in the prey with infected prey being more vulnerable to predation. Thresholds are identified which determine when the predator population survives and when the disease remains endemic. For some parameter values the greater vulnerability of the infected prey allows the predator population to persist, when it would otherwise become extinct. Also the predation on the more vulnerable prey can cause the disease to die out, when it would remain endemic without the predators. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:259 / 268
页数:10
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