Abstract

OLARTE GARCIA, Julián Alejandro  and  LOAIZA, Aníbal Muñoz. A population growth model of ædes Ægypti with logistic carrying capacity. Rev. Mat [online]. 2018, vol.25, n.1, pp.79-113. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v1i25.32233.

In this research, a mathematical model is proposed and analyzed by means of a system of nonlinear ordinary differential equations that represents the bioecology of the Aedes aegypti mosquitoes, since it involves their life cycle and their main breeding sites. The constant solutions of the system are found in terms of the population growth threshold, with the stability analysis being performed to each one. A local sensitivity analysis of the growth threshold and the coexistence equilibrium is performed in terms of the demographic parameters contemplated in the dynamics. With calculated and hypothetical data, numerical results of the system solutions are presented, which are obtained with the help of the mathematical software Maple.

Keywords : Aedes aegypti; breeding site; logistic model; growth threshold; local and global stability; sensitivity analysis.

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