Advances in mosquito dynamics modeling

摘要

It is preliminarily known that Aedes mosquitoes be very close to humans and their dwellings also give rises to a broad spectrum of diseases: dengue, yellow fever, and chikungunya. In this paper, we explore a multi-age-class model for mosquito population secondarily classified into indoor-outdoor dynamics. We accentuate a novel design for the model in which periodicity of the affecting time-varying environmental condition is taken into account. Application of optimal control with collocated measure as apposed to widely used prototypic smooth time-continuous measure is also considered. Using two approaches, least square and maximum likelihood, we estimate several involving undetermined parameters. We analyze the model enforceability to biological point of view such as existence, uniqueness, positivity, and boundedness of solution trajectory, also existence and stability of (non)trivial periodic solution(s) by means of the basic mosquito offspring number. Some numerical tests are brought along at the rest of the paper as a compact realistic visualization of the model. Copyright (c) 2015 John Wiley & Sons, Ltd.