Monotone Traveling Wave Solution for a Delayed Reaction-Diffusion Equations

摘要：

In the paper, we derive a delayed reaction-diffusion equations, which describes a multi-species Predator-prey system. By coupling the perturbation approach with the method of upper and lower solutions, we prove that the traveling wavefronts exist and appear monotone, which connect the zero solution with the positive steady state. Finally, we draw a conclusion to point out that the existence of traveling wavefronts for delayed reactiondiffusion equations is an interesting but difficult problem.

作者: Zhihao Ge

作者单位: Institute of Applied Mathematics & School of Mathematics and Information Sciences Henan University

会议类型: 国际会议

会议名称: 2010国际混沌、分形理论与应用研讨会(IWCFTA 2010)

会议地点: 昆明

会议语种:英文

页码: 69-71

在线出版日期: 2010-10-29（万方平台首次上网日期，不代表论文的发表时间）