Impact of Virus in a Resource Biomass Model with Industry

Abstract

In this paper, a nonlinear mathematical model is proposed and analyzed to study the effect of the virus on forest biomass in the presence of industry. The existence of equilibria and their local stability have been discussed. We have discussed the Hopf-bifurcation analysis by considering the virus as a bifurcation parameter. Further, the direction of Hopf-bifurcation is determined using the center manifold theorem. We have studied the threshold value of the rate of infection caused by the virus for the sustainable developmentofforestbiomass.Alltheanalyticalfindingsarevalidatedusingnumerical simulation.