A Numerical Study of a Mathematical Model of Invasions of Species in Complex Settings

In this study a mathematical model of invasions of species in more complex settings that include interactions between species is investigated numerically. When two species are introduced into unoccupied habitat, they can spread across the environment as two travelling waves with the wave of the faster reproducer moving ahead of the slower. The mathematical formulation of the proposed phenomenon may be considered as a class of Reaction Diffusion Equations. A numerical procedure based on finite difference and RBF collocation method is established to solve our interest problem. The validity and robustness of the numerical approach are investigated numerically.