CAJ | 학술논문

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。
연구료구유비호소효응적생태류행병모형。해모형가설포식자불부포식이감염식이야포식역감식이，차식이충군채납HollingⅠ공능반응。운용현대미분동력계통이론중적LaSalle불변집원리、겁한이론、Liapunov함수등분석소건립모형적동역학행위병조도료질병멸절평형점전국점근은정여모형지속공존적역치。
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 su?cient conditions which guaranteed the global stability of the disease free equilibrium point and permanence of the considered model.