A note on a nonlocal nonlinear reaction–diffusion model
Copyright policy )A note on a nonlocal nonlinear reaction–diffusion model
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.
7 pages
- University of Hannover Germany
Bifurcations in context of PDEs, nonlocal reaction, Steady states, Cross-diffusion, Applied Mathematics, maximal regularity, age structure, Age structure, Crandall-Rabinowitz theorem, Integro-partial differential equations, Mathematics - Analysis of PDEs, Reaction-diffusion equations, FOS: Mathematics, cross-diffusion, Bifurcation, Maximal regularity, Initial-boundary value problems for second-order parabolic systems, nonlocal initial conditions, Analysis of PDEs (math.AP)
Bifurcations in context of PDEs, nonlocal reaction, Steady states, Cross-diffusion, Applied Mathematics, maximal regularity, age structure, Age structure, Crandall-Rabinowitz theorem, Integro-partial differential equations, Mathematics - Analysis of PDEs, Reaction-diffusion equations, FOS: Mathematics, cross-diffusion, Bifurcation, Maximal regularity, Initial-boundary value problems for second-order parabolic systems, nonlocal initial conditions, Analysis of PDEs (math.AP)
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