MODELING DIFFERENT ATTACK PATTERNS OF WHITEFLY ON JATROPHA CURCAS PLANT AND CONTROL OF THE MOSAIC DISEASE

摘要

A mathematical model has been formulated on Jatropha curcas plant and whitefly interaction. In this model we have chosen different probability distribution functions on whitefly attack pattern such as Binomial, Poisson and Negative-binomial distribution which biologically express the regular, random and aggregated attack pattern of whitefly. Our goal is to find out the effects on the disease dynamics due to different attack pattern of whitefly. Analytically we have shown that due to aggregated attack pattern of whitefly the system possesses stable, unstable or small amplitude hopf bifurcating oscillations for different values of the system parameters. Due to regular and random attack pattern of whitefly the system possesses stable steady state irrespective of all system parameter values. Using control theory a possible way of controlling mosaic disease is shown. The theoretical outcomes are justified using numerical simulations.