DYNAMICS OF MOSQUITOES POPULATIONS WITH DIFFERENT STRATEGIES FOR RELEASING STERILE MOSQUITOES

To prevent the transmissions of malaria, dengue fever, or other mosquito-borne diseases, one of the effective weapons is the sterile insect technique in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population. To study the impact of the sterile insect technique on disease transmission, we formulate continuous-time mathematical models for the interactive dynamics of the wild and sterile mosquitoes, incorporating different strategies in releasing sterile mosquitoes. We investigate the model dynamics and compare the impact of the different release strategies. Numerical examples are also given to demonstrate rich dynamical features of the models.