中北大学学报（自然科学版）2017，Vol.38Issue(5)：524-530,7.DOI:10.3969/j.issn.1673-3193.2017.05.004
具有庇护所和收获的SIS模型的全局稳定性分析
The Global Stability Analysis of SIS Model with a Prey Refuge and Harvesting
摘要
Abstract
A SIS epidemic model with a prey refuge and harvesting was investigated.By applying the Hurwitz criterion,Liapunov function,LaSalle's invariable set principle and Numerical simulation,the sufficient conditions for the existence of the equilibrium point,the local and global quality of equilibrium point were analyzed,and the effect of prey refuge and harvesting effort on the system permanence was discussed.The results indicate that,when the proportion of the shelter passes through two critical val-ues of three different intervals,respectively,the epidemic disease is disappearing from the place,the ex-tinction of the predator species become the coexistence of the two species with bait population.So the shelter has a stabilizing effect,adj usting the harvesting effort and the proportion of shelter can eliminate the epidemic proportions,in order to protect the ecological resources.关键词
庇护所效应/生态流行病模型/全局渐近稳定性/平衡点Key words
prey refuge/eco-epidemiological model/global asymptotic stability/equilibrium point分类
数理科学引用本文复制引用
童姗姗,朱玉清,牛玉俊,李贞旭..具有庇护所和收获的SIS模型的全局稳定性分析[J].中北大学学报（自然科学版）,2017,38(5):524-530,7.基金项目
国家自然科学基金资助项目(U1504105) （U1504105）
河南省科学技术基金资助项目(122102210060) （122102210060）
河南省科技计划项目(1423410107) （1423410107）
南阳市科技计划项目(RKX06) （RKX06）
