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.