On the age-dependent predator-prey model

• Autorzy: Antoni Leon Dawidowicz , Anna Poskrobko , Jerzy Leszek Zalasiński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35R09: Integro-partial differential equations
• 35B10: Periodic solutions
• 35F50: Nonlinear first-order systems
• 92D25: Population dynamics (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 4
• Strony: 453-467

Daty

wydano

2011

Twórcy

autor

Antoni Leon Dawidowicz

• Institute of Mathematics, Jagiellonian University, 30-348 Kraków, Poland

autor

Anna Poskrobko

• Faculty of Computer Science, Białystok University of Technology, 15-351 Białystok, Poland

autor

Jerzy Leszek Zalasiński

• Tarnów Regional Development Agency SA, 33-100 Tarnów, Poland

Identyfikatory

DOI

10.4064/am38-4-4