Numerical simulations of two components ecological models with sinc collocation method

Abstract

It is well known that reaction-diffusion systems can describe the interactions of different species in ecological systems. In this work, we propose a numerical method for solving a general two-species reaction-diffusion system. The method comprises a standard finite difference to discretize in time direction and Sinc collocation method in spatial direction. A series of numerical experiments demonstrate the accuracy and good performance of the algorithm. The biological significance of the numerical results was also discussed and presented in figures.