Diffusive logistic equation with constant yield harvesting and negative density dependent emigration on the boundary

作者：Goddard Jerome II^*; Shivaji Ratnasingham

来源：Journal of Mathematical Analysis and Applications, 2014, 414(2): 561-573.

DOI：10.1016/j.jmaa.2014.01.016

• Diffusive logistic equation
• Positive solutions
• Negative density dependent emigration
• Nonlinear boundary conditions
• Sub-super solutions

The structure of positive steady state solutions of a diffusive logistic population model with constant yield harvesting and negative density dependent emigration on the boundary is examined. In particular, a class of nonlinear boundary conditions that depends both on the population density and the diffusion coefficient is used to model the effects of negative density dependent emigration on the boundary. Our existence results are established via the well-known sub-super solution method.

• 出版日期2014-6-15