Dynamics of mosaic disease with roguing and delay in Jatropha curcas plantations

Jatropha curcas plant is seriously affected by the mosaic disease caused by begomovirus which is carried through infected white-flies. It severely affects the Jatropha plants causing leaf damage, yellowing leaves and sap drainage. Traditionally, the diseased is controlled by roguing or removal of infected plant biomass, using insecticides or increasing resistance to host plant. In this article, a mathematical model is formulated to study mosaic disease dynamics in J. curcas plantations with roguing. Also, time delay has been incorporated in roguing and reformulates the mathematical model using delay differential equations. Sufficient conditions for the stability of the equilibrium points of the system are among the results obtained through qualitative analysis. Using the normal form theory and the center manifold theorem, the stability and direction of the bifurcating periodic solutions of the delayed system are determined. The findings are confirmed by means of numerical simulations.