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一个具有稀疏效应的生态-流行病模型的分析
引用本文:张永坡,梁心.一个具有稀疏效应的生态-流行病模型的分析[J].长春师范学院学报,2010(6).
作者姓名:张永坡  梁心
作者单位:空军航空大学飞行训练基础基地基础部;
摘    要:本文建立并分析了具有稀疏效应的捕食者有病的生态-流行病模型.首先应用特征根法得到5个边界平衡点的局部渐近稳定的充分条件,然后分析了其中两个边界平衡点的全局稳定性,最后得到了它们稳定的充分条件.

关 键 词:生态-流行病模型  局部渐近稳定  全局稳定性  

Analysis of an Eco-epidemiological Model under Sparse Effect
ZHANG Yong-po,LIANG Xin.Analysis of an Eco-epidemiological Model under Sparse Effect[J].Journal of Changchun Teachers College,2010(6).
Authors:ZHANG Yong-po  LIANG Xin
Institution:ZHANG Yong-po,LIANG Xin(Flight Training Base,Aviation University of Air Force,Changchun 130022,China)
Abstract:In this paper we formulated and analyzed the eco-epidemiological model under sparse effect.First,the sufficient condition of the local asymptotical stability of the equilibrium was studied with the method of latent root;and then,the global asymptotical stability of two boundary equilibriums is analyzed;At last,the sufficient condition of their stability was obtained.
Keywords:eco-epidemiological model  locally asymptotical stability  global stability  
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