一个修正的Leslie-Gower型捕食模型共存解的存在性

The Existence of Positive Stationary Solutions of a Diffusive Predator-prey Model with Modified Leslie-Gower

研究一个修正的Leslie-Gower型捕食模型的稳态系统.首先通过使用比较原理和最大值原理给出了解的先验估计,然后计算不同系数情况下平凡解和半平凡解对应的不动点指数,最后利用度理论证明共存解的存在性问题.

In this paper,a diffusive predator-prey model with modified Leslie-Gower and Dirichlet boundary condition is studied in this paper.It is shown that steady state solutions exist under certain conditions on the parameters.Results are proved by using fixed point index theory and topology degree theory.