On the age-dependent predator-prey model

Antoni Leon Dawidowicz; Anna Poskrobko; Jerzy Leszek Zalasiński

Applicationes Mathematicae (2011)

  • Volume: 38, Issue: 4, page 453-467
  • ISSN: 1233-7234

Abstract

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The paper deals with the description of a model which is the synthesis of two classical models, the Lotka-Volterra and McKendrick-von Foerster models. The existence and uniqueness of the solution for the new population problem are proved, as well the asymptotic periodicity but under some simplifying assumptions.

How to cite

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Antoni Leon Dawidowicz, Anna Poskrobko, and Jerzy Leszek Zalasiński. "On the age-dependent predator-prey model." Applicationes Mathematicae 38.4 (2011): 453-467. <http://eudml.org/doc/279992>.

@article{AntoniLeonDawidowicz2011,
abstract = {The paper deals with the description of a model which is the synthesis of two classical models, the Lotka-Volterra and McKendrick-von Foerster models. The existence and uniqueness of the solution for the new population problem are proved, as well the asymptotic periodicity but under some simplifying assumptions.},
author = {Antoni Leon Dawidowicz, Anna Poskrobko, Jerzy Leszek Zalasiński},
journal = {Applicationes Mathematicae},
keywords = {population model; Lotka-Volterra; existence and uniqueness theorem; McKendrick-von Foerster models; asymptotic periodicity},
language = {eng},
number = {4},
pages = {453-467},
title = {On the age-dependent predator-prey model},
url = {http://eudml.org/doc/279992},
volume = {38},
year = {2011},
}

TY - JOUR
AU - Antoni Leon Dawidowicz
AU - Anna Poskrobko
AU - Jerzy Leszek Zalasiński
TI - On the age-dependent predator-prey model
JO - Applicationes Mathematicae
PY - 2011
VL - 38
IS - 4
SP - 453
EP - 467
AB - The paper deals with the description of a model which is the synthesis of two classical models, the Lotka-Volterra and McKendrick-von Foerster models. The existence and uniqueness of the solution for the new population problem are proved, as well the asymptotic periodicity but under some simplifying assumptions.
LA - eng
KW - population model; Lotka-Volterra; existence and uniqueness theorem; McKendrick-von Foerster models; asymptotic periodicity
UR - http://eudml.org/doc/279992
ER -

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