Sex-structured wild and sterile mosquito population models with different release strategies

Shuyang Xue; Meili Li; Junling Ma; Jia Li; Shuyang Xue; Meili Li; Junling Ma; Jia Li

doi:10.3934/mbe.2019064

Mathematical Biosciences and Engineering

2019, Volume 16, Issue 3: 1313-1333. doi: 10.3934/mbe.2019064

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Sex-structured wild and sterile mosquito population models with different release strategies

1.
School of Information Science and Technology, Donghua University, Shanghai 201620, China
2.
School of Science, Donghua University, Shanghai 201620, China
3.
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 2Y2, Canada
4.
Center for Applied Mathematics, Guangzhou University, Guangzhou, 510320, China
5.
Department of Mathematical Sciences, The University of Alabama in Huntsville, Huntsville, AL 35899, USA

Received: 26 November 2018 Accepted: 20 January 2019 Published: 20 February 2019

In this paper, we propose sex-structured mathematical models in terms of continuous-time differential equations. We investigate the interactive dynamics of the sex-structured wild and sterile mosquitoes from several aspects including the existence of equilibria and their stability. We consider different strategies of releasing the sterile mosquitoes to control mosquitoes in an effective way. In addition, numerical simulations are provided to illustrate the dynamical features of the models.
- sex structure,
- mosquito-borne diseases,
- sterile mosquitoes,
- release strategies,
- Allee effects,
- stability
Citation: Shuyang Xue, Meili Li, Junling Ma, Jia Li. Sex-structured wild and sterile mosquito population models with different release strategies[J]. Mathematical Biosciences and Engineering, 2019, 16(3): 1313-1333. doi: 10.3934/mbe.2019064

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Abstract

In this paper, we propose sex-structured mathematical models in terms of continuous-time differential equations. We investigate the interactive dynamics of the sex-structured wild and sterile mosquitoes from several aspects including the existence of equilibria and their stability. We consider different strategies of releasing the sterile mosquitoes to control mosquitoes in an effective way. In addition, numerical simulations are provided to illustrate the dynamical features of the models.

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