Geodesic
On the age-dependent predator-prey model
Antoni Leon Dawidowicz 1   ; Anna Poskrobko 2   ; Jerzy Leszek Zalasiński 3
1 Institute of Mathematics Jagiellonian University 30-348 Kraków, Poland
2 Faculty of Computer Science Białystok University of Technology 15-351 Białystok, Poland
3 Tarnów Regional Development Agency SA 33-100 Tarnów, Poland
Applicationes Mathematicae, Tome 38 (2011) no. 4, pp. 453-467 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am38-4-4
Keywords: paper deals description model which synthesis classical models lotka volterra mckendrick von foerster models existence uniqueness solution population problem proved asymptotic periodicity under simplifying assumptions

Antoni Leon Dawidowicz  1   ; Anna Poskrobko  2   ; Jerzy Leszek Zalasiński  3

1 Institute of Mathematics Jagiellonian University 30-348 Kraków, Poland
2 Faculty of Computer Science Białystok University of Technology 15-351 Białystok, Poland
3 Tarnów Regional Development Agency SA 33-100 Tarnów, Poland 
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Antoni Leon Dawidowicz; Anna Poskrobko; Jerzy Leszek Zalasiński. On the age-dependent predator-prey model. Applicationes Mathematicae, Tome 38 (2011) no. 4, pp. 453-467. doi: 10.4064/am38-4-4

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