一类扩散型捕食-食饵模型非常值正稳态解的不存在性

摘要

The nonexistence of positive stationary solution for a prey-predator model with diffu-sion is studied. The model can be used to describe the survival state of two species in heteroge-neous 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.%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。