Geodesic
Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution?
Acta Universitatis Lodziensis. Folia Mathematica, Tome 18 (2013).

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A simple age-dependent population dynamics model with an additional structure or physiological variable is presented in its variational formulation. Although the model is well-posed, the closed form solution with space variable is difficult to obtain explicitly, we prove the uniqueness of its solutions using the fundamental Green’s formula. The space variable is taken into account in the extended model with the assumption that the coefficient of diffusivity is unity.
Mots-clés : Variational inequalities, population dynamics, age structure, physiological variable, Ostrogradski or Green’s formula 
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     author = {Tchuenche, Jean M.},
     title = {Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution?},
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Tchuenche, Jean M. Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution?. Acta Universitatis Lodziensis. Folia Mathematica, Tome 18 (2013). http://geodesic.mathdoc.fr/item/AULFM_2013_18_a1/