A two-species competitive system under the influence of toxic substances

The effect of toxicants on ecological systems is an important issue from mathematical and experimental points of view. In this paper, we have studied the dynamical behaviours of a two-species competitive system affected by toxic substances. Boundedness, local and global stabilities are addressed. We have also studied the stability of this system with diffusion around the non-trivial stable (in the deterministic case) equilibrium point in a random environment. Extensive numerical simulations are performed using analytical results for a hypothetical set of parameter values.