Author(s)

Rachana Pathak

Department of Mathematics, Faculty of Engineering, University of Lucknow (New Campus), Lucknow, India.

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.

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

Pathak, R. (2018) Depletion of Forest Resources and Wildlife Population with Habitat Complexity: A Mathematical Model. Open Journal of Ecology, 8, 579-589. doi: 10.4236/oje.2018.811034.