具有Holling-Tanner项反应扩散模型的渐近性行为

Asymptotic Behavior for a Class of Reaction-diffusion Model with Holling-Tanner Term

研究了一类在Neumman边界条件下具有扩散的Holling-Tanner模型.首先,利用比较原理得到了模型一致持续生存的充分条件.其次,通过构造迭代函数,利用上下解方法,得到模型正常数解的全局渐近稳定性.

In this paper,we consider a Holling-Tanne rsystem with diffusion under homogeneous Neumman boundary condition.First,we establish a sufficient condition for the uniform persistence by using comparison principle.Second,through constructing iterative function,we get the globally asymptotical stability by using the upper and lower solutions.