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Modeling Wolbachia spread in mosquitoes through delay differential equations. (English) Zbl 1303.92124
The paper is concerned with the investigation of a mathematical model for Wolbachia spreading dynamics. It is a system of four first-order delay differential equations. When ignoring the maturation delay, the system reduces to two first-order delay differential equations. The latter describes the asymptotic behaviour of the given system. The authors study the stability of its equilibrium points and then discuss the full model with the maturation delay. They present sufficient conditions on the initial conditions that guarantee complete infection of Wolbachia. The paper ends with a numerical example of an application.

MSC:
92D30 Epidemiology
37N25 Dynamical systems in biology
34D23 Global stability of solutions to ordinary differential equations
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