北华大学学报（自然科学版）2016，Vol.17Issue(3)：281-289,9.DOI:10.11713/j.issn.1009-4822.2016.03.001
一类具有非线性发生率的生态-流行病模型分析
Analysis of an Eco-Epidemiological Model with a Nonlinear Incidence Rate
摘要
Abstract
An eco-epidemiological model with a nonlinear incidence rate in the predator is considered. We analyze the boundedness of solutions and stability of equilibria. By using bifurcation methods and techniques,we study the Bogdanov-Takens bifurcation near a positive equilibrium,and obtain a saddle-node bifurcation curve,a Hopf bifurcation curve and a homoclinic bifurcation curve. The direction of Hopf bifurcation and the existence of a stable limit cycle near a positive equilibrium are also discussed.关键词
生态-流行病模型/非线性发生率/稳定性/分支Key words
eco-epidemiological model/nonlinear incidence rate/stability/bifurcation分类
数理科学引用本文复制引用
刘宣亮,江文超..一类具有非线性发生率的生态-流行病模型分析[J].北华大学学报（自然科学版）,2016,17(3):281-289,9.基金项目
国家自然科学基金项目(11572127) （11572127）
