Chaos and Hopf Bifurcation in a Food Chain System with Sex-structure and Sexual Favoritism
A food chain system with sex-structure and sexual favoritism is considered. The impact of the sexual favoritism on the stability of the system is studied. The sufficient conditions for the system occurring Hopf bifurcation about the boundary equilibrium and positive equilibrium are obtained, by using a criterion of simple Hopf bifurcations based on the Routh-Hurwitz criterion. Numerical simulations are performed to support theoretical results, and shown that the system considered has more complicated dynamics, including periodic oscillation, high-order quasi-periodic oscillation and chaos. Finally, a briefly conclusion is given.
Food Chain System Sex-structure Sexual Favoritism Hopf Bifurcation Chaos
Dalin Li Shunyi Li
Department of Mathematics,Qiannan Normal College for Nationalities,Duyun,Guizhou, 558000, China
国际会议
The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)
南京
英文
771-776
2011-06-01（万方平台首次上网日期，不代表论文的发表时间）