Traveling Waves of a Stage-Structured Predator-Prey Model with Diffusion and Delay

摘要：

This paper is concerned with a stage-structured predator-prey model with spatial diffusion and time delay. By analyzing the corresponding characteristic equations, the local stability of each of uniform steady states to this system is discussed. By using a cross iteration scheme and Schauders fixed point theorem, we reduce the existence of traveling wave solutions to the existence of a pair of upper-lower solutions. By constructing a pair of upper-lower solutions, we derive the existence of a traveling wave solution connecting the trivial steady state and the coexistence steady state.

关键词： Traveling wave solutions Upper-lower solutions Partial quasi-monotonicity Schauders fixed point theorem

作者: Yanke Du Rui Xu

作者单位: Institute of Applied Mathematics,Shijiazhuang Mechanical Engineering College,Shijiazhuang,050003,P.R.China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1110-1116

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）