Global Asymptotical Stability of a Prey-predator System with Diffusion and Time Delays

摘要：

A prey-predator system with diffusion and time delays is investigated. A global asymptotical stability condition is obtained by the method of upper-lower solutions and the comparison principle of parabolic equation. It is shown that by using upper and lower solutions as coupled initial iterations, the corresponding sequences converge monotonically the steady-state solution.

关键词： Prey-predator Diffusion Time delays Global asymptotic behavior

作者: MENG Yijie XIAO Shiwu DING Ling

作者单位: School of Mathematics and Computer Science, Xiangfan University, Xiangfan, P.R.China 441053

会议类型: 国际会议

会议名称: The 5th International Conference on Product Innovation Management(第五届产品创新管理国际会议 ICPIM 2010)

会议地点: 武汉

会议语种:英文

页码: 1330-1335

在线出版日期: 2010-07-10（万方平台首次上网日期，不代表论文的发表时间）