Published January 1, 2013
| Version v1
Publication
COMPLEX DYNAMICS IN 2-SPECIES PREDATOR-PREY SYSTEMS
Creators
- 1. Badji Mokhtar University
- 2. University Ferhat Abbas of Setif
Description
In this work, we consider some dynamical properties and specific contact bifurcations of a discrete-time predator-prey system having inverses with vanishing denominator. The dynamics is investigated by using concepts of focal points, prefocal curves and bifurcation theory. The system undergoes flip bifurcation and Neimark-Sacker bifurcation. Numerical simulations are presented not only to illustrate our results with the theoretical analysis, but also to confirm further the complexity of the dynamical behaviors as extinction, persistence and permanence.
Translated Descriptions
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This is an automatic machine translation with an accuracy of 90-95%
Translated Description (Arabic)
في هذا العمل، نأخذ في الاعتبار بعض الخصائص الديناميكية وتشعبات التلامس المحددة لنظام المفترس- البري في الوقت المنفصل الذي يحتوي على انعكاسات مع مقام التلاشي. يتم التحقيق في الديناميكيات باستخدام مفاهيم النقاط المحورية والمنحنيات البؤرية ونظرية التشعب. يخضع النظام لتشعب الوجه وتشعب Neimark - Sacker. يتم تقديم المحاكاة العددية ليس فقط لتوضيح نتائجنا بالتحليل النظري، ولكن أيضًا لتأكيد تعقيد السلوكيات الديناميكية مثل الانقراض والمثابرة والديمومة.Translated Description (English)
In this work, we consider some dynamical properties and specific contact bifurcations of a discrete-time predator-prey system having inverses with vanishing denominator. The dynamics are investigated by using concepts of focal points, prefocal curves and bifurcation theory. The system undergoes flip bifurcation and Neimark-Sacker bifurcation. Numerical simulations are presented not only to illustrate our results with the theoretical analysis, but also to confirm further the complexity of the dynamic behaviors as extinction, persistence and permanence.Translated Description (French)
Dans ce travail, nous considérons certaines propriétés dynamiques et des bifurcations de contact spécifiques d'un système de prix de prédateur discret avec dénominateur de vanishing. La dynamique est étudiée en utilisant des concepts de points focaux, de courbes préfocales et de théorie de la bifurcation. The system undergoes flip bifurcation and Neimark-Sacker bifurcation. Les simulations numériques ne sont pas présentées uniquement pour illustrer nos résultats avec l'analyse théorique, mais également pour confirmer davantage la complexité des comportements dynamiques en termes d'extinction, de persistance et de permanence.Translated Description (Spanish)
In this work, we consider some dynamical properties and specific contact bifurcations of a discrete-time predator-prey system having inverses with vanishing denominator. La dinámica se investiga mediante el uso de conceptos de puntos focales, curvas prefocales y teoría de la bifurcación. The system undergoes flip bifurcation and Neimark-Sacker bifurcation. Numerical simulations are presented not only to illustrate our results with the theoretical analysis, but also to confirm further the complexity of the dynamical behaviors as extinction, persistence and permanence.Additional details
Additional titles
- Translated title (Arabic)
- الديناميكيات المعقدة في نظامي PREDATOR - PREY
- Translated title (English)
- COMPLEX DYNAMICS IN 2-SPECIES PREDATOR-PREY SYSTEMS
- Translated title (French)
- COMPLEX DYNAMICS IN 2-SPECIES PREDATOR-PREY SYSTEMS
- Translated title (Spanish)
- COMPLEX DYNAMICS IN 2-SPECIES PREDATOR-PREY SYSTEMS
Identifiers
- Other
- https://openalex.org/W1682072906
- DOI
- 10.11948/2013002
References
- https://openalex.org/W149398130
- https://openalex.org/W1964888345
- https://openalex.org/W1980137179
- https://openalex.org/W2019297070
- https://openalex.org/W2030728270
- https://openalex.org/W2038947131
- https://openalex.org/W2070830204
- https://openalex.org/W4250146611