Role of Bio-Pest Control on Theta Logistic Populations: A Case Study on Jatropha Curcus Cultivation System

摘要: Renewable crops are the most demanding source for biodiesel production. Jatropha sp. oil has shown promising features in generating renewable energy source. Presently, crop cultivation faces severe damage to seed production during pest invasion. We consider a nonlinear mathematical system with biomass of sp., susceptible population, infected population and virus population. The follows theta logistic growth as curve is more natural choice comparison classical model. Introduction control by application Nuclear Polyhedrosis Virus (NPV) was applied through foliar spraying arrest values \(\theta \) have depend on process interaction at different densities. In this research communication we observe how various can affect survival invasion which makes model biologically realistic. Stability bifurcation analyses been worked out system. Analytically numerically find threshold value =0.74\). seen that <0.74\) stable \ge 0.74\), shows limit cycle oscillation holds upto =1\). Analytical numerical results based simulated findings validate our