Mathematical analysis of an age structured problem modelling phenotypic plasticity in mosquito behaviour. (English) Zbl 1425.92156
Summary: 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 \(\mathbb{A}\) per se is interesting. Additionally, we get the existence and nonexistence of nonnegative steady solutions under some conditions.
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