CONSERVATION OF FORESTRY BIOMASS AND WILDLIFE POPULATION: A MATHEMATICAL MODEL

A non-linear mathematical model for conservation of forestry biomass and wildlife population is proposed and analyzed. In the modelling process, it is assumed that the growth rate of wildlife conservation is proportional to the depletion of forestry biomass due to wildlife population. It also studies the affect of illegal trade in forestry biomass and wildlife population. The model equations are analyzed mathematically with regard to the nature of equilibrium points and their stabilities using the theory of nonlinear ordinary differential equations and numerical simulations. It also obtained sufficient conditions for the persistence of the system by using differential inequality.