Geodesic
Stability switches for some class of delayed population models
Joanna Skonieczna1 ; Urszula Foryś2
1 Institute of Applied Mathematics Faculty of Mathematics, Informatics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland
2 Institute of Applied Mathematics Faculty of Mathematics Informatics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland
Applicationes Mathematicae, Tome 38 (2011) no. 1, pp. 51-66 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am38-1-4
Keywords: study stability switches class delay differential equations discrete delay describe simple method checking change stability which originally comes paper cook driessche explain method examples three types prey predator models delay compare dynamics these models under increasing delay

Joanna Skonieczna 1 ; Urszula Foryś 2

1 Institute of Applied Mathematics Faculty of Mathematics, Informatics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland
2 Institute of Applied Mathematics Faculty of Mathematics Informatics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Poland 
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Joanna Skonieczna; Urszula Foryś. Stability switches for some class
 of delayed population models. Applicationes Mathematicae, Tome 38 (2011) no. 1, pp. 51-66. doi: 10.4064/am38-1-4

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