<abstract xmlns="http://www.w3.org/1999/xhtml">
<p>This paper focuses on the classification of forest biomass into two categories: premature and mature forest biomass. The third variable considered is industrialization. The growth of the wood-based industry is believed to be closely tied to the population of mature forest biomass. Any scarcity of the mature population could have a negative impact on industrialization. So, pre-mature forest biomass is provided as an alternative for industrial growth. The industrialization growth is assumed to be based on a modified Leslie-Gower equation. The positivity and boundedness of the system are calculated using the comparison theorem. Stability analysis is done about nonzero equilibrium points with the help of the Routh-Hurwitz theorem. When there is no delay in the system, the system is stable. At τ&lt; 1.8, the system shows asymptotic stability, but at τ ≥ 1.8, system shows Hopf-bifurcation and periods oscillations occur. Furthermore, sensitivity analysis is examined about different parameters of the systems. MATLAB is used to draw the numerical simulation.</p>
</abstract>

This paper focuses on the classification of forest biomass into two categories: premature and mature forest biomass. The third variable considered is industrialization. The growth of the wood-based industry is believed to be closely tied to the population of mature forest biomass. Any scarcity of the mature population could have a negative impact on industrialization. So, pre-mature forest biomass is provided as an alternative for industrial growth. The industrialization growth is assumed to be based on a modified Leslie-Gower equation. The positivity and boundedness of the system are calculated using the comparison theorem. Stability analysis is done about nonzero equilibrium points with the help of the Routh-Hurwitz theorem. When there is no delay in the system, the system is stable. At τ< 1.8, the system shows asymptotic stability, but at τ ≥ 1.8, system shows Hopf-bifurcation and periods oscillations occur. Furthermore, sensitivity analysis is examined about different parameters of the systems. MATLAB is used to draw the numerical simulation.

Optimizing industrial growth through alternative forest biomass resources: A mathematical model using DDE

University of Tuscia, Largo Dell Universita

International Journal of Mathematics and Computer in Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

This paper focuses on the classification of forest biomass into two categories: premature and mature forest biomass. The third variable considered is...

Optimizing industrial growth through alternative forest biomass resources: A mathematical model using DDE

Published Online: Sep 14, 2023

Page range: 187 - 200

Received: Jun 20, 2023

Accepted: Aug 02, 2023

DOI: https://doi.org/10.2478/ijmce-2023-0015

Keywords
Premature forest biomass, mature forest biomass, industrialization, stability, delay differential equation, sensitivity analysis, Matlab

© 2023 Dipesh et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Optimizing industrial growth through alternative forest biomass resources: A mathematical model using DDE

Published Online: Sep 14, 2023

Page range: 187 - 200

Received: Jun 20, 2023

Accepted: Aug 02, 2023

DOI: https://doi.org/10.2478/ijmce-2023-0015

KeywordsPremature forest biomass, mature forest biomass, industrialization, stability, delay differential equation, sensitivity analysis, Matlab

© 2023 Dipesh et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Premature forest biomass, mature forest biomass, industrialization, stability, delay differential equation, sensitivity analysis, Matlab