A Delay Differential Equations model for Wolbachia infection in Aedes aegypti populations

Antone dos Santos Benedito, Mostafa Adimy, Claudia Pio Ferreira

Resumo


Currently, Wolbachia is one of the most studied reproductive parasite of arthropod species and appears to be a promising candidate for biocontrol of some mosquito carried diseases, especially by Aedes aegypti. A mathematical model inspired by Nicholson-type delay equations is proposed to investigate the relation between temperature variation (implicit into maturation time) and population dynamics of both transinfected by a Wol- bachia strain and uninfected Aedes aegypti mosquitoes. We analyze the existence and local stability of equilibria with and without delay. [...]

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