带环境迁移项的格上Lotka-Volterra竞争系统的Squeezing定理

Squeezing Theorem of the Lattice Lotka-Volterra Competition System in a Shifting Environment

运用最值原理,研究了带环境迁移项的格上Lotka-Volterra竞争系统强制波的严格单调性。据此,利用上下解方法及比较原理,证明了Squeezing定理。从而能够给出相应柯西问题解的一个估计,并为全局稳定性的分析提供工具。

The strict monotonicity of the forced waves of a lattice Lotka-Volterra competition system in a shifting environment is investigated by applying the maximum principle.Based on this result,the squeezing theorem is proved by making use of upper-lower solution method and comparison principle.As a result,an estimation can be obtained for the solutions of the corresponding Cauchy problem to provide some insights to the global stability.