It is preliminarily known that Aedes mosquitoes are very close to humans andtheir dwellings, also give rises to a broad spectrum of diseases: dengue,yellow fever, chikungunya. In this paper, we explore a multi-age-class modelfor mosquito population secondarily classified into indoor-outdoor dynamics. Weaccentuate a novel design for the model in which periodicity of the affectingtime-varying environmental condition is taken into account. Application of theoptimal control with collocated measure as apposed to the widely-usedprototypic smooth time-continuous measure is also considered. Using twoapproaches: least-square and maximum likelihood, we estimate several involvingundetermined parameters. We analyze the model enforceability to biologicalpoint of view such as existence, uniqueness, positivity and boundedness ofsolution trajectory, also existence and stability of (non)trivial periodicsolution(s) by means of the basic mosquito offspring number. Some numericaltests are brought along at the rest of the paper as a compact realisticvisualization of the model.
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