Effects of nonlinear diffusion and nonlinear birth rate on the two-patch model
A single-population plaque model is presented in which the diffusion between plaques is nonlinear and the birth rate of the first patch depends on its population density,and the higher the dependency coeffi-cient β,the smaller the birth rate.The local stability of all possible equilibrium points and the global stability condition are proved.By proving the transverse condition,the system may undergo critical branches.The re-sults also indicate that,the nonlinear diffusion significantly reduces the risk of population extinction in the first patch and is associated with population density growth when β is in a certain range.
万方数据
维普
