Stability switches for some class of delayed population models

• Autorzy: Joanna Skonieczna , Urszula Foryś
• Języki publikacji: EN

Abstrakty

EN

We study stability switches for some class of delay differential equations with one discrete delay. We describe and use a simple method of checking the change of stability which originally comes from the paper of Cook and Driessche (1986). We explain this method on the examples of three types of prey-predator models with delay and compare the dynamics of these models under increasing delay.

Kategorie tematyczne

• 37N25: Dynamical systems in biology \SeeMainly{\SbjNo 92-XX, but also \SbjNo 91-XX}
• 34K60: Qualitative investigation and simulation of models
• 34K13: Periodic solutions
• 34K28: Numerical approximation of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 1
• Strony: 51-66

Daty

wydano

2011

Twórcy

autor

Joanna Skonieczna

• Institute of Applied Mathematics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

autor

Urszula Foryś

• Institute of Applied Mathematics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Identyfikatory

DOI

10.4064/am38-1-4