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Variational characterization of the speed of reaction diffusion fronts for gradient dependent diffusion
(2018)
We study the asymptotic speed of traveling fronts of the scalar reaction diffusion for positive reaction terms and with a diffusion coefficient depending nonlinearly on the concentration and on its gradient. We restrict ...
A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
SUFFICIENT CONDITIONS ON DIFFUSIVITY FOR THE EXISTENCE AND NONEXISTENCE OF STABLE EQUILIBRIA WITH NONLINEAR FLUX ON THE BOUNDARY
(TEXAS STATE UNIVSAN MARCOS, 2012)
A reaction-diffusion equation with variable diffusivity and non-linear flux boundary condition is considered. The goal is to give sufficient conditions on the diffusivity function for nonexistence and also for existence ...
A DISCRETIZATION SCHEME FOR AN ONE-DIMENSIONAL REACTION-DIFFUSION EQUATION WITH DELAY AND ITS DYNAMICS
(AMER INST MATHEMATICAL SCIENCES, 2009)
The goal of this paper is to present an approximation scheme for a reaction-diffusion equation with finite delay, which has been used as a model to study the evolution of a population with density distribution u, in such ...
Transversal Instability for the Thermodiffusive Reaction-Diffusion System
(Shanghai Scientific Technology Literature, 2015)
The propagation of unstable interfaces is at the origin of remarkable patterns that are observed in various areas of science as chemical reactions, phase transitions, and growth of bacterial colonies. Since a scalar equation ...
Persistence for a two-stage reaction-diffusion system
(MDPI, 2020)
In this article, we study how the rates of diffusion in a reaction-diffusion model for a stage structured population in a heterogeneous environment affect the model's predictions of persistence or extinction for the ...
Persistence for a two-stage reaction-diffusion system
(MDPI, 2020)
In this article, we study how the rates of diffusion in a reaction-diffusion model for a stage structured population in a heterogeneous environment affect the model's predictions of persistence or extinction for the ...