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Analysis of dynamic properties on forest restoration-population pressure model

Mingzhu Qu Chunrui Zhang Xingjian Wang

*Corresponding author: Xingjian Wang jianxingwang@126.com

MBE2020,4,3567doi:10.3934/mbe.2020201

On the basis of logistic models of forest restoration, we consider the influence of population pressure on forest restoration and establish a reaction diffusion model with Holling II functional responses. We study this reaction diffusion model under Dirichlet boundary conditions and obtain a positive equilibrium. In the square region, we analyze the existence of Turing instability and Hopf bifurcation near this point. The square patterns and mixed patterns are obtained when steady-state bifurcation occurs, the hyperhexagonal patterns appears in Hopf bifurcation.

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