Pathak, R., Agarwal, M., Takeuchi, Y. and Shukla, J.B. (2017) Modeling the Depletion of Forest Resources Due to Population and Industrialization and Its Effect on Survival of Wildlife Species. International Journal of Mathematical Modelling and Analysis of Complex Systems (IJMMACS): Nature and Society, 3, 37-65.

has been cited by the following article:

• TITLE: Depletion of Forest Resources and Wildlife Population with Habitat Complexity: A Mathematical Model

  AUTHORS: Rachana Pathak

  KEYWORDS: Forestry Biomass, Depletion, Wildlife Population, Human-Induced Activities, Stability, Persistence

  JOURNAL NAME: Open Journal of Ecology, Vol.8 No.11, November 27, 2018

  ABSTRACT: Nowadays, management and regulation of natural resources like agriculture, fisheries, forestry and wildlife is one of the popular topics in research. The evolution of humankind is largely dependent on the quality of the environment and the resources it provides; but numerous human-induced factors, and climate change may drastically alter the conditions of human sustainability. This paper deals with effect of numerous human-induced activities on the depletion of forestry resources and wildlife population with habitat complexity. A nonlinear mathematical model is proposed and analyzed. In modeling process, we assume that the growth rate of wildlife population wholly depends on forestry biomass. It is depleted by human-induced activities. Local stability analysis of the mathematical model along with the persistence of the system is checked by using theory of nonlinear ordinary differential equations and Butler-McGhee lemma. Analytical results obtained are justified numerically through numerical simulation. Important parameters are investigated and variation of variables with change in these parameters is determined.