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math.AP2023
A nonlocal Gray-Scott model: well-posedness and diffusive limit
Philippe Laurençot, Christoph Walker
Well-posedness in of the nonlocal Gray-Scott model is studied for integrable kernels, along with the stability of the semi-trivial spatially homogeneous steady state. In…
math.AP2023
A Note on the Compactness of the Resolvent of the Age-Diffusion Operator
Christoph Walker
The generator of the semigroup associated with linear age-structured population models including spatial diffusion is shown to have compact resolvent.
math.AP2023
Stability and Instability of Equilibria in Age-Structured Diffusive Populations
Christoph Walker
The principle of linearized stability and instability is established for a classical model describing the spatial movement of an age-structured population with nonlinear vital rate…