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

Publication date: August 2019Source: Nonlinear Analysis: Real World Applications, Volume 48Author(s): Lin Lin Li, Cláudia Pio Ferreira, Bedreddine AinsebaAbstractThis 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 A which is the infinitesimal generator of a C0-semigroup. Indeed, the study of the spectrum of A per se is interesting. Additionally, we get the existence and nonexistence of nonnegative steady solutions under some conditions.
Source: Nonlinear Analysis: Real World Applications - Category: Research Source Type: research