Dynamics of malaria transmission model with sterile mosquitoes. Issue 1 (1st January 2018)

• Record Type: Journal Article
• Authors: Yin, Hongyan; Yang, Cuihong; Zhang, Xin'an; Li, Jia
• Is Part Of: Journal of biological dynamics. Volume 12:Issue 1(2018)
• Page Start: 577
• Page End: 595
• Publication Date: 2018-01-01
• Subjects: Sterile mosquito -- stability -- backward bifurcation -- malaria model; 34C60 -- 34D99 -- 92D25 -- 92D30 -- 92D40; Biology -- Mathematical models -- Periodicals; 570.15118
• DOI: 10.1080/17513758.2018.1498983
• Languages: English
• ISSNs: 1751-3758

Abstract

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.