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We incorporate almost periodic functions in a mosquito model to take into account a loss of synchronicity in the population dynamics of mosquitoes due to climate change. The model takes into account the skip oviposition strategy that is associated with the mosquitoes that are vectors of infectious diseases as dengue, malaria and leishmaniasis. We prove existence and uniqueness of a stable almost periodic solution for some conditions over the parameters of the model. Numerical simulations are performed using values estimated for the life cycle of Aedes albopictus gathered in literature. The results show that the vector population can be underestimated or overestimated if an almost periodic dynamics is approximated by a periodic dynamics. Therefore, using an almost seasonal model can be more adequate to design breeding habitat-targeted mosquito control strategies when seasonal drivers are modeled since climate-mediated shifts can induce a loss of periodicity in environmental drivers. [ABSTRACT FROM AUTHOR]

Modeling of multi-layered cell cultures (MCC) assume flat geometry in a 3D tumor growth model. Some results available in the time-dependent framework assume a periodic nutrient supply ф(t)/. Our aim is to generalize such considerations. Namely, we show that a stable oscillating tumor growth arises in the long term, whenever the mean value of the almost periodic nutrient supply ф surpasses certain threshold level, ф > σ. Meanwhile, a vanishing tumor is predicted in the complementary case, ф ≤σ. [ABSTRACT FROM AUTHOR]

In this work, we study models of enzyme-catalysed reactions which include an almost periodic substrate input. The main results are the existence, uniqueness and global stability of an almost periodic solution of the system under some restrictions on the parameters. [ABSTRACT FROM AUTHOR]