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http://dspace.centre-univ-mila.dz/jspui/handle/123456789/5029| Title: | Bifurcation and Chaos Analysis of a Two-Dimensional Discrete-Time Predator–Prey Model |
| Authors: | OUAIL SEKHRI, ZEGGAR |
| Keywords: | Discrete predator-prey model, Neimark-Sacker bifurcation, flip bifurcation, center manifold theorem Mod`ele pr´edateur-proie discret, bifurcation de Neimark-Sacker, bifurcation flip, th´eor`eme de la vari´et´e centrale. |
| Issue Date: | Jun-2026 |
| Publisher: | university of mila |
| Citation: | Applied Mathematics |
| Abstract: | This work is devoted to the study of the dynamical behavior of a discrete predator-prey system with a nmonotonic functional response. We investigate the local asymptotic stability of the positive equilibrium of the system by examining the characteristic equation of the linearized system corresponding to the model. By choosing the growth rate as a bifurcation parameter, the existence of Neimark-Sacker and period-doubling (flip) bifurcations at the positive equilibrium is established. Furthermore, the effects of perturbations on the system dynamics are investigated, and numerical simulations are presented to illustrate our main analytical results |
| Description: | Ce travail est consacr´e `a l’´etude du comportement dynamique d’un syst`eme pr´edateur-proie discret avec une r´eponse fonctionnelle non monotone. Nous ´etudions la stabilit´e asymptotique locale de l’´equilibre positif du syst`eme en examinant l’´equation caract´eristique du syst`eme lin´earis´e correspondant au mod`ele. En choisissant le taux de croissance comme param`etre de bifurcation, l’existence de bifurcations de Neimark-Sacker et de doublement de p´eriode (flip) `a l’´equilibre positif est ´etablie. De plus, les effets des perturbations sur la dynamique du syst`eme sont ´etudi´es, et des simulations num´eriques sont pr´esent´ees pour illustrer nos principaux r´esultats analytiques. |
| URI: | http://dspace.centre-univ-mila.dz/jspui/handle/123456789/5029 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Bifurcation and Chaos Analysis of a Two-Dimensional Discrete-Time.pdf | 1,06 MB | Adobe PDF | View/Open |
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