北华大学学报（自然科学版）2018，Vol.19Issue(3)：281-290,10.DOI:10.11713/j.issn.1009-4822.2018.03.001
一类捕食者有传染病的捕食者-食饵模型的分支分析
Analysis of a Predator-Prey Model with Disease in the Predator
摘要
Abstract
A predator-prey model with disease in the predator is considered. By using qualitative theory and bifurcation theory of ordinary differential equations,we analyze the boundedness of solutions and stability of equilibria,and study Hopf bifurcation and Bogdanov-Takens bifurcation near positive equilibria.We obtain the conditions and conclusions of corresponding bifurcations.关键词
生态-流行病模型/Hopf分支/Bogdanov-Takens分支Key words
eco-epidemiological model/Hopf bifurcation/Bogdanov-Takens bifurcation分类
数理科学引用本文复制引用
刘宣亮,王志星..一类捕食者有传染病的捕食者-食饵模型的分支分析[J].北华大学学报（自然科学版）,2018,19(3):281-290,10.基金项目
国家自然科学基金项目(11572127). （11572127）
