Global weak solution for a multi-stage physiologically structured population model with resource interaction
AYLAJ, Bouchra
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
NOUSSAIR, Ahmed
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
AYLAJ, Bouchra
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
NOUSSAIR, Ahmed
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
Nonlinear Analysis: Real World Applications. 2009-03-27p. in press
Elsevier
English Abstract
We construct a multistage kinetic model of a physiologically structured insect population whose life history consists of fourth stages of development termed eggs, larval, pupal and adult moth (male and female). The model ...Read more >
We construct a multistage kinetic model of a physiologically structured insect population whose life history consists of fourth stages of development termed eggs, larval, pupal and adult moth (male and female). The model is a system of weakly coupled hyperbolic partial differential equations with nonlocal boundary conditions. The vital rates depend on the resource which satisfy an ordinary differential equation. We discretize the physiological space and formulate an implicit scheme and we prove the existence and uniqueness of the solution. The numerical simulation provides an analytical tool to improve the understanding of the moth's biologyRead less <
English Keywords
Population dynamics
Kinetic models
Age structured population
Fully implicit scheme
Stability
Helly-compactness
Origin
Hal imported