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Analysis of dynamic properties on forest restoration-population pressure model
Ming Zhu Qu1, Chun Rui Zhang1, Xing Jian Wang2
1Department of Mathematics, Northeast Forestry University, Harbin 150040, China.
Abstract:
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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