Modeling and control of Mongolian forest utilization: Impact of illegal logging

Depletion and deforestation of forest resources are mainly due to industrialization, population, pollution, forest fire, improper commercial logging, and illegal logging in the world. In this paper, we consider two dynamic models. A mathematical Model 1 is proposed considering the forest biomass density x ( t ) , the density of wood‐based industries y ( t ) with unknown parameter h . Model 2 is an extension of Model 1 with the density of illegal logging z ( t ) with unknown parameter n . It is assumed that the density of forest biomass grows logistically in the absence of wood‐based industries and illegal logging. In the proposed models, the controlling parameters h and n are crucial parameters for the local stable conditions of the equilibrium points and system control. We also show in this paper that it is possible to control illegal logging by increasing the level of logging by selecting system parameters efficiently and effectively.