Spatiotemporal complexity of a Holling-Iv-type predator-prey model

摘要：

In this paper, we focus on a spatial Holling-type Ⅳ predator-prey model which contains some important factors, such as diffusion, noise (random fluctuations) and extemal periodic forcing. By a brief stability and bifurcation analysis, we arrive at the Hopf and Turing bifurcation surface and derive the symbolic conditions for Hopf and Turing bifurcation in the spatial domain. Based on the stability and bifurcation analysis, we obtain spiral pattern formation via numerical simulation. Our results show that modeling by reaction-diffusion equations is an appropriate tool for investigating fundamental mechanisms of complex spatiotemporal dynamics.

关键词： Spatiotemporal Holling-Iv-type predator-prey model Hopf bifurcation Turing bifurcation

作者: Lei Zhang Weiming Wang Yakui Xue Zhibin Li

作者单位: Computer Science & Technology Department, East China Normal University, Shanghai, 200062; Institute Institute of Nonlinear Analysis, School of Mathematics and Information Science, Wenzhou University, Department of Mathematics, North University of China, Taiyuan, Shanxi 030051 Computer Science & Technology Department, East China Normal University, Shanghai, 200062

会议类型: 国际会议

会议名称: 中国数学会生物数学分会第六届学术年会

会议地点: 山东泰安

会议语种:英文

页码: 332-338

在线出版日期: 2008-07-25（万方平台首次上网日期，不代表论文的发表时间）