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arXiv · 1804.09441

Mathematical analysis of an age structured problem modeling phenotypic plasticity in mosquito behaviour

Lin Lin Li·Cláudia Pio Ferreira·Bedreddine Ainseba
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Abstract

This paper presents an age structured problem modelling mosquito blood-feeding plasticity in a natural environment. We first investigate the analytical asymptotic solution through studying the spectrum of an operator $\mathbb{A}$ which is the infinitesimal generator of a $C_0$-semigroup. Indeed, the study of the spectrum of $\mathbb{A}$ {\it per se} is interesting. Additionally, we get the existence and nonexistence of nonnegative steady solutions under some conditions.

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Lin Lin Li, Cláudia Pio Ferreira, Bedreddine Ainseba. 2018-04-25. Mathematical analysis of an age structured problem modeling phenotypic plasticity in mosquito behaviour. https://arxiv.org/abs/1804.09441

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