Abstract:
In this paper, we examine a dynamic model of forest conservation, which is depleted due to deforestation, growth of the forest industry, and climatic factors. Forest biomass is divided into young ($P$) and mature ($M$) populations. For industrial enterprises ($I$), a restriction is imposed on the cutting of young populations. The stability of equilibrium positions of the system is analyzed, phase portraits are constructed. Solutions of the system equations are expressed in quadratures.
Keywords:nonlinear dynamical system, stability analysis, phase portrait, equilibrium point
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