A note on a nonlocal nonlinear reaction-diffusion model

作者：Walker Christoph^*

来源：Applied Mathematics Letters, 2012, 25(11): 1772-1777.

DOI：10.1016/j.aml.2012.02.010

• Bifurcation
• Steady states
• Cross-diffusion
• Age structure
• Maximal regularity

We give an application of the Crandall-Rabinowitz theorem on local bifurcation to a system of nonlinear parabolic equations with nonlocal reaction and cross-diffusion terms as well as nonlocal initial conditions. The system arises as steady-state equations of two interacting age-structured populations.

• 出版日期2012-11