Conservation of Forestry Biomass with the Use of Alternative Resource: Advanced Study

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 values of delay parameters under different dynamical situations and observe that
system is stable and unstable when the delay parameters are below and above the critical values
respectively and there is Hopf bifurcation when delay parameters cross the critical values. System
shows these interesting dynamical features under different critical parametric restrictions. Using the
normal form theory and the center manifold theorem, we determine the stability and direction of the
bifurcating periodic solutions. Numerical simulations illustrate the analytical results.