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Simple stage-structured models for wild and transgenic mosquito populations

We formulate and study discrete-time stage-structured models, based on systems of difference equations, for wild and transgenic mosquito populations. We divide the mosquito population into two classes: the larvae class which consists of the first three aquatic stages in a mosquito's lifetime, and the adult class. Due to the intraspecific competition among larvae, we assume that the density dependence is based on larvae not on adults. We investigate the existence and stability of fixed points and positive or synchronous 2-cycles of the model systems. We show that the models, by means of numerical simulations, exhibit rich dynamics.