The impact of diapause eggs on mosquito population suppression based on constant release of sterile mosquitoes

The impact of diapause eggs on mosquito population suppression is important but has often been neglected in mathematical modeling. In this work, we establish a differential equation model to investigate the dynamical behavior of wild mosquito population under constant release of sterile mosquitoes. Our model includes the effect of diapause eggs and adopts a new expression of mosquito intraspecific competition in both larva and adult stages. By using constructive techniques, we obtain sufficient conditions for the existence and stability of periodic solutions, as well as the stability of the zero equilibrium. We explain in the Conclusion why it is difficult to completely eliminate wild mosquitoes in field trial. Numerical simulations are provided to validate our findings.