عنوان المقالة: Chaos in Beddington–DeAngelis food chain model with fear
هبة عبدالله ابراهيم | Hiba Abdullah Ibrahim | 3928
نوع النشر
مؤتمر علمي
المؤلفون بالعربي
هبة عبدالله ابراهيم ، رائد كامل ناجي
المؤلفون بالإنجليزي
Hiba Abdullah Ibrahim and Raid Kamel Naji
الملخص الانجليزي
In the current paper, the effect of fear in three species Beddington–DeAngelis food chain model is investigated. A three species food chain model incorporating Beddington- DeAngelis functional response is proposed, where the growth rate in the first and second level decreases due to existence of predator in the upper level. The existence, uniqueness and boundedness of the solution of the model are studied. All the possible equilibrium points are determined. The local as well as global stability of the system are investigated. The persistence conditions of the system are established. The local bifurcation analysis of the system is carried out. Finally, numerical simulations are used to investigate the existence of chaos and understand the effect of varying the system parameters. It is observed that the existence of fear up to a critical value has a stabilizing effect on the system; otherwise it works as an extinction factor in the system.
تاريخ النشر
18/07/2020
الناشر
IOP Publishing
رقم المجلد
1591
رقم العدد
2020
رابط DOI
doi:10.1088/1742-6596/1591/1/012082
الكلمات المفتاحية
Beddington–DeAngelis functional response - Fear - Stability - Chaos - Bifurcation
رجوع