Asymptotic Behavior of Solutions to a Prey-predator System with Diffusion and Time Delays

摘要：

A prey-predator system with diffusion and time delays is investigated by the method of upper-lower solutions.It is shown by using upper and lower solutions as coupled initial iterations that the corresponding sequences converge monotonically to a unique solution of the reaction-diffusion system.The convergence leads to an existence comparison theorem which is useful for studying the asymptotic behavior of the solution of the system.

关键词： Prey-predator Diffusion Time delays Asymptotic behavior

作者: Meng Yijie

作者单位: Department of Mathematics,Xiangfan University,Xiangfan,P,R.China,441053

会议类型: 国际会议

会议名称: 第三届产品创新管理国际会议(The 3rd International Conference on Product Innovation Management)

会议地点: 武汉

会议语种:英文

在线出版日期: 2008-10-26（万方平台首次上网日期，不代表论文的发表时间）