Now showing items 1-10 of 287
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 ...
On certain new exact solutions of a diffusive predator-prey system
We construct exact solutions for a system of two coupled nonlinear partial differential equations describing the spatio-temporal dynamics of a predator-prey system where the prey per capita growth rate is subject to the ...
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 fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
On some fractional Green's functions
(Amer Inst PhysicsMelvilleEUA, 2009)
Nonmonotone travelling waves in a single species reaction–diffusion equation with delay
(Elsevier Inc., 2007)
Time discretization versus state quantization in the simulation of a one-dimensional advection–diffusion–reaction equation
(SAGE Publications, 2016-01)
In this article, we study the effects of replacing the time discretization by the quantization of the state variables on a one-dimensional (1D) advection–diffusion–reaction (ADR) problem. For that purpose the 1D ADR equation ...