具Michaelis-Menten型收获的Leslie-Gower捕食-食饵扩散模型的动力学和模式

马战平,霍海峰,向红

Dynamics and Patterns for a Diffusive Leslie-Gower Predator-Prey Model with Michaelis-Menten Type Harvesting in Prey

Zhanping Ma,Haifeng Huo,Hong Xiang

图 1 当$\Omega =(0, 50)$, $ (d_{1}, d_{2}, b, c, h, \rho)=(1, 20, 0.5, 1, 0.1, 1), $初值为$(0.5+0.5\cos(0.2x), 0.7+0.5\cos(0.2x))$时, 正常数平衡解$(0.6257, 0.6257)$是全局渐近稳定的.