TITLE:
Conservation of Forestry Biomass with the Use of Alternative Resource
AUTHORS:
Manju Agarwal, Rachana Pathak
KEYWORDS:
Forestry Biomass, Industrialization, Alternative Resource, Toxicant, Technological Effort, Local Stability, Hopf Bifurcation
JOURNAL NAME:
Open Journal of Ecology,
Vol.5 No.4,
April
1,
2015
ABSTRACT: The effect of the alternative resource and time delay on conservation of
forestry biomass is studied by considering a nonlinear mathematical model. In
this paper, interaction between forestry biomass, industrialization pressure,
toxicant pressure and technological effort is proposed and analysed. We find
out the critical value of delay and observe that there is Hopf bifurcation.
Using the normal form theory and the center manifold theorem, we determine the
stability and direction of the bifurcating periodic solutions. Numerical
simulations are given to illustrate the analytical results.