Conservation of Forestry Biomass with the Use of Alternative Resource

Manju Agarwal, Rachana Pathak^*

Department of Mathematics & Astronomy, Lucknow University, Lucknow, India.

DOI: 10.4236/oje.2015.54009                

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.

Keywords

Forestry Biomass, Industrialization, Alternative Resource, Toxicant, Technological Effort, Local Stability, Hopf Bifurcation

Conflicts of Interest

The authors declare no conflicts of interest.

References

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