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Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution?

Object's details: Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution?

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Provider:Repozytorium Uniwersytetu Łódzkiego

Description

Title:
Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution?
Creator:
Tchuenche, Jean M.
Contributor:
Department of Mathematics, University of Dar es Salaam P.O.Box 35062, Dar es Salaam, Tanzania;
jmt_biomaths@yahoo.co.uk
Description:
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.
Object availability:
free access
Rights:
© 2013 for University of Łódź Press;
Uznanie autorstwa-Bez utworów zależnych 3.0 Polska;
http://creativecommons.org/licenses/by-nd/3.0/pl
Date:
2016.05.20;
2013
Type:
Article
Language:
English
Format:
application/pdf
Publisher:
Łódź University Press
Relation:
Acta Universitatis Lodziensis. Folia Mathematica;1;
18
Subject:
Variational inequalities;
population dynamics;
age structure;
physiological variable;
Ostrogradski or Green’s formula
Identifier:
0208-6204;
http://hdl.handle.net/11089/18159
Data provider:
Repozytorium Uniwersytetu Łódzkiego

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