Dhar, J., Chaudhary, M. and Sahu, G.P. (2013) Mathematical Model of Depletion of Forestry Resource, Effect of Synthetic Based Industries. International Journal of Biological, Life Science and Engineering, 7, 1-5.

has been cited by the following article:

• 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.