Online ISSN: 2515-8260

Keywords : Hopf bifurcation


Hopf-Bifurcation Induced by Delay Parameter in Depletion of Forest Biomass due to Wood-based Industries

Pankaj Kumar

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 7, Pages 3646-3652

In this article, the effect of delay parameter on the wood-based industries depleting the forest biomass is analysed using a mathematical model. The logistic growth of forest biomass is assumed in the lack of wood-based industries. System behavior within all feasible equilibria is studied using differential equation stability theory. The delay parameter 𝝉 is a key parameter in the proposed model, and the system shows complex behaviour by exhibiting Hopf-bifurcation about interior equilibrium. The calculated procedural results are substantiated using simulation with MATLAB