Impact of illegal logging and industrial effort on forestry biomass via a fractal-fractional model involving the Hattaf fractal-fractional derivative

Zakaria Hajhouji; Mohamed Ait  Ichou; Khalid  Hattaf; Majda El  Younoussi

doi:10.5269/bspm.76510

Zakaria Hajhouji University Hassan II
Mohamed Ait Ichou
Khalid Hattaf
Majda El Younoussi

Abstract

In this paper, we present a fractal-fractional model to examine the effects of illegal logging, tax policies and conservation efforts on forest biomass, as well as the complex interplay between biomass depletion and industrial growth. We demonstrate the existence and uniqueness of the model's solutions via fixed-point theory and apply Ulam-Hyers stability to evaluate the stability of the proposed model. It was found that increasing forest biomass densities can be achieved by mitigating illegal logging, implementing government taxes and reducing industrialization. Finally, some results from numerical simulations were presented.

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