Chaos in predator¨Cprey systems with/without impulsive effect

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• 作者：Alfonso Ruiz-Herrera^a ;   ; ^{alfonsoruiz@ugr.es}
• 关键词：Stretching along paths ; Predator&ndash ; prey systems ; Complex dynamics ; Topological horseshoes ; Impulsive effect
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2012
• 出版时间：April 2012
• 年：2012
• 卷：13
• 期：2
• 页码：977-986
• 全文大小：295 K

文摘

In this paper, we prove analytically that the seasonal effect can cause chaos in predator¨Cprey systems. Our method of proof is based on some recent results on topological horseshoes. Some applications in systems with impulsive effect are given.