Models for the effect of environmental pollution on forestry resources with time delay

Abstract

In this paper, we present a mathematical model to study the effect of environmental pollution on forestry resource biomass with time delay in a diffusive system. In the absence of diffusion, criteria for local stability, instability and global stability are obtained. It is shown that high depletion rate of the environmental pollution destabilizes the system, but low rate of the formation of toxic substance due to some metabolic changes inside the resource biomass stabilizes the system. The effect of diffusion on the positive equilibrium of the system is also investigated.