具有庇护所效应的生态流行病模型

Stability analysis of eco-epidemiological model incorporating prey refuges

研究了具有庇护所效应的生态流行病模型.该模型假设捕食者不仅捕食已感染食饵也捕食易感食饵,且食饵种群采纳HollingⅠ功能反应.运用现代微分动力系统理论中的LaSalle不变集原理、极限理论、Liapunov函数等分析所建立模型的动力学行为并找到了疾病灭绝平衡点全局渐近稳定与模型持续共存的阈值.

An eco-epidemiological model with Holling I functional response incorporating prey refuge was considered in this paper. The model assumed that predators prey on the susceptible and infected prey population. Using LaSalle invariable set, limit system theory, Liapunov function, etc, the dynamical behavior of preys and obtained the sufficient conditions which guaranteed the global stability of the disease free equilibrium point and permanence of the considered model.