反应扩散三物种时滞系统的动力学行为和行波解

Dynamical Behavior and Traveling Fronts of a Delayed Reaction-diffusion Three-species Systems

本文考察一类在有界区域内具有零流边界条件的反应扩散三物种时滞系统.在某些初始值恒为零时,研究解的渐近行为并找到解的渐近行为的充分条件,这一充分条件说明在不同的条件下物种能持续生存或灭亡.再者,当波速相对大时,通过构造上下解证明行波解的存在性.

This paper is purported to investigate a three-species delayed reaction-diffusion predatorprey system in a bounded domain with no flux boundary condition. With certain initial value identifying zero, we study the asymptotic behavior of solution and find the sufficient conditions of the asymptotic behavior of solution which indicate that the spices will be permanent or extinct in the future under the different conditions. Moreover, the existence of the traveling wavefront is established by constructing upper-lower solution when the wave speed is relatively large.