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

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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.