Mathematical insights and integrated strategies for the control of Aedes aegypti mosquito

Hong Zhang, Paul Georgescu and Adamu Shitu Hassan

Applied Mathematics and Computation, 2016, vol. 273, issue C, 1059-1089

Abstract: This paper proposes and investigates a delayed model for the dynamics and control of a mosquito population which is subject to an integrated strategy that includes pesticide release, the use of mechanical controls and the use of the sterile insect technique (SIT). The existence of positive equilibria is characterized in terms of two threshold quantities, being observed that the “richer” equilibrium (with more mosquitoes in the aquatic phase) has better chances to be stable, while a longer duration of the aquatic phase has the potential to destabilize both equilibria. It is also found that the stability of the trivial equilibrium appears to be mostly determined by the value of the maturation rate from the aquatic phase to the adult phase.

Keywords: Sterile insect release; Stability of equilibria; Nonstandard finite difference (NFSD) scheme; Delay; Hopf bifurcation; Optimal control (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:1059-1089

DOI: 10.1016/j.amc.2015.10.066

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