北华大学学报（自然科学版）2016，Vol.17Issue(1)：15-19,5.DOI:10.11713/j.issn.1009-4822.2016.01.004
一类含有避难所和收获的生态流行病模型的稳定性
Stability of an Eco-epidemiological Model with a Prey Refuge and Harvesting
摘要
Abstract
A class of SI eco-epidemiological model with refuge and harvest is discussed. The sufficient conditions for the existence of the equilibrium points are analyzed, and the global stability of the equilibrium points is obtained by constructing the Liapunov function,and the effect of the harvest effort and the refuge effect on the system's permanence is discussed. Finally,it is found that the refuge of the system has a stabilizing effect,the appropriate adjustment of the amount of effort and the proportion of the shelter can eliminate the epidemic,which is conducive to the sustainable development of ecological resources.关键词
避难所效应/收获/生态流行病模型/全局稳定性Key words
refuge effect/harvest/ecological epidemic model/global stability分类
数理科学引用本文复制引用
童姗姗,连冬艳,马戈..一类含有避难所和收获的生态流行病模型的稳定性[J].北华大学学报（自然科学版）,2016,17(1):15-19,5.基金项目
河南省科技攻关计划项目(122102210060). （122102210060）
