一类差分-积分竞争系统的空间传播 I: 行波解
首发时间:2012-04-06
摘要:由于单调半流的缺失, 非合作模型以及非单调系统的空间传播理论研究十分困难. 本文研究了一类竞争型差分-积分系统的空间传播, 利用行波解描述两个竞争者的时空行为. 首先建立了适合系统的比较原理, 从而使得单调性方法可以使用. 通过构造符合竞争系统特性的上下解, 得到了行波解存在性. 基于上下解的精确渐近行为, 也得到了行波解在负无穷处的指数渐近行为. 根据行波解的所满足的渐近边界条件, 这种行波解可以描述两个竞争者共同入侵同一栖息地并最终共存于这一栖息地的演化过程.
For information in English, please click here
Propagation of a Difference-Integral Competitive System I: Traveling Wave Solutions
Abstract:Due to the loss of semiflows, the study of propagation of non-cooperative systems and non-monotonic models is very difficult. This paper is concerned with the spatial propagation of an integral-difference system admitting competitive nonlinearity, which is modeled by the traveling wave solutions. The comparison principle appealing to the system is first established such that the monotone method is applicable. By constructing upper and lower solutions of competitive systems, the existence of traveling wave solutions is obtained. According to the precise asymptotic of upper and lower solutions, the asymptotic behavior near the negative infinity is also given. From the viewpoint of asymptotic boundary conditions, these traveling wave solutions formulate the coinvasion-coexistence process of two competitors.
Keywords: Competitive systems, traveling wave solutions, biology invasion, asymptotic behavior.
论文图表:
引用
No.****
同行评议
勘误表
一类差分-积分竞争系统的空间传播 I: 行波解
评论
全部评论0/1000