Mathematical modeling on conservation of depleted forestry resources

Abstract

In this article, a nonlinear mathematical model is constructed to investigate the conservation of depleted forest resources due to the increase of population and associated pressures. Fundamental equations governing the dynamics of the system are defined by the set of highly nonlinear ordinary differential equations and solved numerically. The model is analyzed by using the nature of stability analysis theory of dynamical system. The numerical solutions and simulations of the system are carried out using ODE45 subroutine of MATLAB. Presentations of results are revealed using graphs and interpreted biologically. It is noted that the increase of population density and associated pressures causes the depletion of forestry resources. However, forest resources can be conserved by controlling man made fire, toxicant activities, applying economical incentives and technological efforts. Recommendations for Resource managers. The forest resources are natural resources that can be used for ecosystem balancing mechanism in nature. However, forest resources are depleted as a result of augmented population and associated pressures. Therefore, When population and associated pressures increase, the depletion of forestry resources increases. As conservation efforts applied, the density of forestry resources increases.