一类扩散型捕食—食饵模型非常值正稳态解的不存在性

Nonexistence of Non-constant Positive Stationary Solution for a Diffusive Prey-predator Model

研究了一类扩散型捕食-食饵模型非常值正稳态解的不存在性问题。该模型能够用来描述处于异构环境中的两个种群的生存状态。利用极值原理和迭代技巧,给出了该模型不存在非常值正稳态解的一个充分条件。这个结果是对该模型理论研究的一个补充。

The nonexistence of positive stationary solution for a prey-predator model with diffusion is studied.The model can be used to describe the survival state of two species in heterogeneous environments.By means of the maximum principle and iterative technique,a sufficient condition for the nonexistence is given.This result complements some previous results on the model.