PERIODIC DYNAMICS OF A MOSQUITO POPULATION SUPPRESSION MODEL BASED ON WOLBACHIA-INFECTED MALES

. In this paper, we explore and study a mosquito population suppression model, consisting of two sub-models switching each other, based on Wolbachia-infected mosquitoes. Under the assumptions that the releases of Wolbachia-infected males are impulsive and periodic and the waiting period between two consecutive releases is not less than the sexually active lifespan of Wolbachia-infected males, we give a fairly complete description of the periodic dynamics of the model including the nonexistence of periodic solutions and the existence of a unique periodic solution and exact two periodic solutions. We also analyze the asymptotic stability of each periodic solution and each constant equilibrium in detail. Finally, some numerical examples are provided to illustrate our theoretical results.