具有功能性反应且捕食者有病的捕食-被捕食的SI模型  

Prey-predator SI Model with Epidemic and Response Function in the Predator

作　　者：王利红[1] 罗明奇[2] 张九娥[1] 赵琳[1] 雒志学[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070 [2]西北民族大学数学与计算机科学学院,甘肃兰州730030

出　　处：《洛阳理工学院学报（自然科学版）》2010年第4期65-68,90,共5页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

基　　金：国家自然科学基金资助项目(10771048)

摘　　要：建立并研究了一类捕食者具有传染病的生态流行病SI模型,考虑了捕食者具有功能性反应,且染病的捕食者会因病死亡,以及只有健康的捕食者才具有捕食能力,但这种疾病一旦染上就不再康复。应用特征方程的方法以及Liapunov函数法,得到了无病平衡点和地方病平衡点渐进稳定的条件。An eco-epidemiological （SI） model of epidemic predator has been established and studied which notices that the predator has response function. It also indicates that the infectious predator would die of diseases and only the healthy predator has predation capacity. However once infected with the disease, the predator will not be able to recover. Through characteristic equation and Liapunov function, the stability of equlibria and asymptotical stability conditions have been obtained.

关 键 词：捕食被捕食 功能性反应 平衡点 渐进稳定 

分 类 号：Q141[生物学—生态学]