Dynamics of malaria transmission model with sterile mosquitoes |
| |
Authors: | Hongyan Yin |
| |
Institution: | 1. School of Mathematics and Statistics, Central China Normal University, Wuhan, People's Republic of China;2. School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, People's Republic of China |
| |
Abstract: | In this paper, a malaria transmission model with sterile mosquitoes is considered. We first formulate a simple SEIR malaria transmission model as our baseline model. Then sterile mosquitoes are introduced into the baseline model. We consider the case that the release rate of sterile mosquitoes is proportional to the wild mosquito population size. To investigate the impact of releasing sterile mosquitoes on the malaria transmission, the dynamics of the baseline model and the models with the sterile mosquitoes are discussed. We derive formulas of the reproductive numbers and explore the existence of endemic equilibrium as the reproductive number is more than unity for these models. It is shown that both the baseline model and the models with the sterile mosquitoes undergo backward bifurcations. Based on theoretical analysis and numerical simulation, we investigate the impact of releasing sterile mosquitoes on malaria transmission. |
| |
Keywords: | Sterile mosquito stability backward bifurcation malaria model |
|
|