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An optimal control model of Aedes aegypti population dynamics concerning classification of indoor-outdoor life cycles is taken into account in this paper. A dengue epidemics measure, the basic mosquito offspring, is obtained from the well-known next-generation matrix. The number is used to analyse the stability of the mosquito-free equilibrium. This mosquito-free equilibrium describes a steady-state condition in the mosquito population dynamics where there are no mosquitoes. Comprehensive analysis on the existence and stability of the positive non-trivial equilibrium state is shown as well. Further work deals with designation of the control measures and numerical implementation of the optimal control model using various scenarios. We highlight those measures expressed as the semi-discrete mass profile of the Temephos spraying and the thermal fogging.

Temephos spraying and thermal fogging efficacy on Aedes aegypti in homogeneous urban residences