<p>More than 30% of the earth’s land surface is covered by the forest. Increase in population undergoes activities like construction, grazing, agriculture activities, and industrialization causing permanent clearing of land to make room for something besides the forest, which is called deforestation. Considering this scenario, the mathematical model is framed for studying the dynamics with using four compartments such as deforestation of the dense forest, deforestation of the urban forest, population growth and wood industrialization. Using the dynamical phenomenon, the boundedness of the system is proposed. The proposed model has five equilibria. Behaviour of the system around all feasible equilibria is scrutinized through local stability theory of differential equations. The 3d phase portrait gives the chaotic behavior of each compartment. Basic reproduction number value assists the bifurcation and the sensitivity analysis. Bifurcation analysis gives the ideal value, then the comparison of threshold and ideal value suggests the permissible situation of the compartment. For these findings, analytics results are verified through numerically validated data.</p>