A new approach to the life cycle of Mediterranean fruit fly with a view to estimating some parameters

‎Ceratitis capitate, commonly known as the Mediterranean fruit fly, is one of the most destructive fruit pests in the world. The Mediterranean fruit fly is the most economically important fruit fly species because it causes severe destruction. In this paper, a dynamical model based on a delay differential equation is introduced that is described the life cycle of the insect. As follows, Hopf bifurcation is checked by changing the time delays. In the next issue is estimated unknown parameters. It is proposed a method, based on the least square approach and a finite set of observation, to estimate the parameters which are identifiable. Finally, using numerical simulation, the stability at endemic equilibrium point is investigated.

کلیدواژه ها:

Delay differential system‎ ، ‎Mediterranean fruit fly‎ ، ‎Hopf bifurcation‎ ، ‎Asymptotically stable‎ ، ‎Parameter estimation