Population models with diffusion, strong Allee effect, and nonlinear boundary conditions

作者：Goddard Jerome II; Lee Eun Kyoung; Shivaji R^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(17): 6202-6208.

DOI：10.1016/j.na.2011.06.001

• Diffusion
• Strong Allee effect
• Nonlinear boundary condition
• Constant yield harvesting

We consider a population model with diffusion, a strong Allee effect per capita growth function, and constant yield harvesting. In particular, we focus our study on a population living in a patch, Omega subset of R(n) with n >= 1, that satisfies a certain nonlinear boundary condition. We establish our existence results by the method of sub-supersolutions.

• 出版日期2011-12