具有Monod-Haldane型功能性反应扩散捕食模型的分析与数值模拟

Analysis and Numerical Simulation of a Predator-prey Model with Monod-Haldane Function Response and Diffusion

本文建立了具有Monod-Haldane型功能性反应扩散捕食模型,讨论了模型正平衡点局部稳定和全局稳定的充分条件,对解的性质进行了分析,并给出了模型的数值解及稳定性的数值模拟.

In this paper, a predator-prey model with Monod - Haldane function response and diffusion is studied. Uniform persistence of the system is discussed. The sufficient condition of local asymptotic stability and global asymptotic stability of the positive equilibria are showed. Then , stability of the system is simulated by Matlab.