English

A Note on a Nonlocal Nonlinear Reaction-Diffusion Model

Analysis of PDEs 2011-01-21 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1101.3879,
  title  = {A Note on a Nonlocal Nonlinear Reaction-Diffusion Model},
  author = {Christoph Walker},
  journal= {arXiv preprint arXiv:1101.3879},
  year   = {2011}
}

Comments

7 pages

R2 v1 2026-06-21T17:14:28.072Z