具有庇护所效应与饱和发生率的生态流行病模型（英文）  

An eco-epidemiological model with prey refuges and a saturation incidence rate

作　　者：马智慧[1] 王婷婷 王淑璠[2] 

机构地区：[1]兰州大学数学与统计学院,兰州730000 [2]西北民族大学数学与计算机科学学院,兰州730030

出　　处：《兰州大学学报（自然科学版）》2017年第6期826-831,836,共7页Journal of Lanzhou University(Natural Sciences)

基　　金：Supported by the National Natural Science Foundation of China(11301238);Fundamental Research Funds for the Central Universities(LZUJBKY-2017-166)

摘　　要：建立了具有庇护所效应的生态流行病模型,将饱和发生率与HollingⅡ功能反应函数引入模型分别用来描述传染病的传播过程与捕食者和食饵种群的捕食过程.研究了所建立模型平衡点的全局渐近稳定性,得到了所研究模型一致续存的充分条件.An eco-epidemiological system with the effect of prey refuges was proposed. The saturation incidence rate and Holling Ⅱ functional response were used to model the contact process and predation process, respectively. The global stability behavior of the presented system was investigated and the sufficient conditions of permanence on the presented system were obtained.

关 键 词：生态流行病模型 庇护所效应 饱和发生率 稳定性分析 一致续存 

分 类 号：Q175[生物学—水生生物学]