Complex Dynamical Behavior in a Mutual Interference Predator-Prey System with Nonmonotonic Function Response Concerning IPM
A mutual interference predator-prey system with nonmonotonic functional response concerning IPM is introduced. By using Floquet theorem and small amplitude perturbation skills, a locally asymptotically stable prey-eradication periodic solution is obtained when the impulsive period is less than some critical value. Otherwise, the system is permanent. Numerical examples show that the system considered has more complicated dynamics, such as: high-order periodic oscillation, period-halfing bifurcation, symmetry-breaking bifurcation, attractor crisis, several attractors coexist, etc. Finally, a brief conclusion is given.
Mutual Interference Nonmonotonic Functional Response IPM Chaos Bifurcation
Shunyi Li Ying Xue
Department of Mathematics,Qiannan Normal College for Nationalities,Duyun,Guizhou, 558000, China Department of Foundation Studies,Logistical Engineering University, Chongqing, 401311,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
782-787
2011-06-01（万方平台首次上网日期，不代表论文的发表时间）