Dynamical Behavior of a Vector Borne Epidemic Model with Time Delay and Imprecise Parameters

摘要

In this article we have proposed and analyzed a simple three dimensional mathe? matical model related to a vector borne diseases incorporating three state variables as? sociated with susceptible human population,infected human population and infected mosquitoes. We have consider a time lag during the infection and only one insecticide control parameter is applied. Some complex dynamical behaviours including existence and stability criteria of all the equilibria, finding optimal control and the existence of Hopf bifurcation of the delay system investigated thoroughly. The model is extended and analyzed for imprecise set of parameters also. Lastly some computer simulation works are carried out for authentications of their theoretical counterparts.