南京师大学报(自然科学版)2011,Vol.34Issue(3):25-31,7.
具饱和传染率的一类捕食者-食饵模型的分析
Analysis of a Predatro-Prey Model With a Saturated Infection Rate
摘要
Abstract
In this paper,we study the predator-prey model with disease in the prey. Assume that the predator eats only the infected prey,and the incidence rate of disease is saturated. First of all,we study the boundedness of solutions,then we discuss the existence of equilibrium and its stability, and obtain the global stabilities of boundary equilibrium and positive equilibrium.关键词
捕食者-食饵模型/有界性/中心流形/稳定性Key words
predator-prey model,boundedness,center manifold,stability分类
数理科学引用本文复制引用
幸玲,刘宣亮..具饱和传染率的一类捕食者-食饵模型的分析[J].南京师大学报(自然科学版),2011,34(3):25-31,7.基金项目
国家自然科学基金(10871074). (10871074)