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Article Dans Une Revue Journal of Differential Equations Année : 2003

Existence and uniqueness for a kinetic model of population dynamics with character dependence and spatial structure

Résumé

this work, we consider a one species population dynamics model with character dependence, spatial structure and a nonlocal renewal process arising as a boundary condition. The individual interaction are based on Boltzmann kinetic-type modeling. Using fixed point arguments and the div-rot lemma, we prove that our model admits a unique global nonnegative solution.

Dates et versions

hal-00391835 , version 1 (05-06-2009)

Identifiants

Citer

Ahmed Noussair, Bedr'Eddine Ainseba. Existence and uniqueness for a kinetic model of population dynamics with character dependence and spatial structure. Journal of Differential Equations, 2003, 187 (2), pp.293-309. ⟨10.1016/S0022-0396(02)00082-7⟩. ⟨hal-00391835⟩
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