Numerical Solutions for Non-linear Parabolic Systems on Predator-Prey Problems

Abstract

Reaction-diffusion systems have been extensively used in physics, biology, chemistry, ecology, etc. We will consider a diffusive predator-prey model with nonlinear reaction terms. Because of nonlinearity of the problem, it is the only way to find numerical solutions. An implicit finite difference scheme is considered and numerical computations are given in order to support theoretical background.