A mathematical model for mosquito infestation

Authors

DOI:

https://doi.org/10.17268/sel.mat.2019.01.02

Keywords:

Ordinary differential equation, bacterial infestation, basic reproduction number, local stability, Simulation

Abstract

We propose and analyze a mathematical model in ordinary differential equations to describe the dynamics of mosquitoes infested by bacteria. The introduction of some bacteria in mosquitoes population aims to diminish gradually the transmission of vector host-diseases. This is a good strategy of biological control.

References

Bliman, P. A. et al. Ensuring successful introduction of Wolbachia in natural populations of Aedes aegypti by means of feedback control, 2015.

Bliman, P. A. et al. Global stabilizing feedback law for a problem of biological control of mosquito-borne diseases, Proc. of the 54th IEEE Conference on Decision and Control 2015.

Johnson, K. N. Review The Impact of Wolbachia on Virus Infection in Mosquitoes, Viruses 2015.

Ndii, M. et al. Modeling the introduction of Wolbachia into Aedes Aegyptus mosquitoe to reduce Dengue transmission, The ANZIAM Journal 2012.

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Published

2019-07-21

How to Cite

López C., R. (2019). A mathematical model for mosquito infestation. Selecciones Matemáticas, 6(01), 14-18. https://doi.org/10.17268/sel.mat.2019.01.02

Issue

Vol. 6 No. 01 (2019): January - July

Section

Articles

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