Dynamics of malaria transmission model with sterile mosquitoes

Journal of Biological Dynamics
Hongyan YinJia Li

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.

References

Sep 1, 1979·Proceedings of the National Academy of Sciences of the United States of America·M L Berman, A Landy
Nov 7, 2006·Bulletin of Mathematical Biology·Gideon A Ngwa
Mar 13, 2009·Mathematical Biosciences and Engineering : MBE·Jia Li
Sep 4, 2009·Vector Borne and Zoonotic Diseases·Luke AlpheyStephen L Dobson
Jun 17, 2011·Mathematical Biosciences and Engineering : MBE·Jia Li
Apr 19, 2015·Malaria Journal·James E GentileGregory R Madey
Mar 20, 2016·Journal of Neuroimmune Pharmacology : the Official Journal of the Society on NeuroImmune Pharmacology·Changqing XuSylvia Fitting

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Citations

May 29, 2020·Journal of Biological Dynamics·Yanyuan XingJian Liu

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Methods Mentioned

BETA
transgenic

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