Nontrivial Effect of Time-Varying Migration on the Three Species Prey-Predator System

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2019,（1）
• 页码范围: 127-131
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0253-6102/71/1/127

摘要

Migration is ubiquitous in ecosystem and often plays an important role in biological diversity.In this work,by introducing a time-varying migration rate associated with the difference of subpopulation density into a prey,we study the Hopf bifurcation and the critical phenomenon of predator extinction of the three species prey-predator system,which consists of a predator,a prey and a mobile prey.It is found that the system with migration exhibits richer dynamic behaviors than that without migration,including two Hopf bifurcations and two limit cycles.Interestingly,the parameters of migration have a drastically influence on the critical point of predator extinction,determining the coexistence of species.Moreover,the population evolution dynamics of one-dimensional multiple prey-predator system are also discussed.