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  2. Volume 7, Issue 7
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Online ISSN: 2515-8260

Volume7, Issue7

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

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Abstract

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
Keywords:
    Forest biomass Wood industry Time delay Hopf bifurcation
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(2020). Hopf-Bifurcation Induced by Delay Parameter in Depletion of Forest Biomass due to Wood-based Industries. European Journal of Molecular & Clinical Medicine, 7(7), 3646-3652.
Pankaj Kumar. "Hopf-Bifurcation Induced by Delay Parameter in Depletion of Forest Biomass due to Wood-based Industries". European Journal of Molecular & Clinical Medicine, 7, 7, 2020, 3646-3652.
(2020). 'Hopf-Bifurcation Induced by Delay Parameter in Depletion of Forest Biomass due to Wood-based Industries', European Journal of Molecular & Clinical Medicine, 7(7), pp. 3646-3652.
Hopf-Bifurcation Induced by Delay Parameter in Depletion of Forest Biomass due to Wood-based Industries. European Journal of Molecular & Clinical Medicine, 2020; 7(7): 3646-3652.
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