Modeling the hibernation phenomena of insect pests

Using an age-structured population model, which describes the life cycle of the insect in its 4 developmental stages (egg, larva, cocoon, adult) taking into account the hibernation or dormancy phase, we study the impact of hibernation phenomena on the dynamics of a pest insect population. We give results on the asymptotic behaviour of the model. Illustrations of numerical simulations are given to show the impact of the hibernation fraction on the persistence or extinction of the population over long periods, as well as the impact of thermal changes on the development of the insect population. The article concludes with a simulation of the dynamics of this population over one season with 3 hibernation strategies under real thermal conditions, in order to show the development of insect generations during this season under the different hibernation strategies.