Global weak solution for a multistage physiologically structured population model with resource interaction |
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Authors: | B Aylaj A Noussair |
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Institution: | 1. INRIA Bordeaux - Sud-Ouest, Université Bordeaux 1, 351 cours de la Libération Talence 33400, France;2. IMB Université Bordeaux 1, 351 cours de la Libération Talence 33400, France |
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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 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 biology. |
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