Session S25 - New Methods and Emerging Applications in Dynamics, Networks, and Control

Monday, July 12, 20:25 ~ 20:55 UTC-3

Monotonicity properties arising in a simple model of Wolbachia invasion for wild mosquito populations

Diego Vicencio

Universidad Tecnica Federico Santa Maria, Chile   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this presentation, we propose a simplified bi-dimensional Wolbachia infestation model in a population of Aedes aegypti mosquitoes, preserving the main features associated with the biology of this species that can be found in higher dimensional models.

Using tools borrowed from monotone dynamical system theory, in the proposed model, we prove the existence of an invariant threshold manifold that allows us to provide practical recommendations for performing single and periodic releases of Wolbachia-carrying mosquitoes, seeking the eventual elimination of wild insects that are capable of transmitting infections to humans.

We illustrate these findings with numerical simulations using parameter values corresponding to the wMelPop strain of Wolbachia that is considered the best virus blocker but induces fitness loss in its carriers.

Joint work with Pedro Gajardo (Universidad Tecnica Federico Santa Maria, Chile) and Olga Vasilieva (Universidad del Valle, Colombia).

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