Competition among Predators and Allee Effect on Prey, Their Influence on a Gause-Type Predation Model
المؤلفون المشاركون
González-Olivares, Eduardo
Cabrera-Villegas, Javier
Córdova-Lepe, Fernando
Rojas-Palma, Alejandro
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-19، 19ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2019-03-21
دولة النشر
مصر
عدد الصفحات
19
التخصصات الرئيسية
الملخص EN
Interference or competition among predators (CAP) has often been ruled out in depredation models, although there are varied mathematical forms to describe and incorporate it into this interaction.
In this work, we present the most known of these descriptions and one of them will be used in a modified Volterra model.
Moreover, of this ecological phenomenon, a simple and strong Allee effect affecting the prey population will be considered in the relationship.
An important feature of the new model is to have until two positive equilibrium points, to the difference with the Volterra model (without Allee effect); hence different and interesting dynamic situations appear in the system.
Conditions for the existence and local stability of equilibria are determined.
The boundedness of solutions, the existence of a limit cycle and a separatrix curve are also proven.
Besides, the main properties of the model are examined from an ecological point of view.
To make a comparative discussion of our results, an Appendix is added with the main properties of models, in which neither the Allee effect nor the competition among predators is considered.
Some simulations are shown to endorse our results.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
González-Olivares, Eduardo& Cabrera-Villegas, Javier& Córdova-Lepe, Fernando& Rojas-Palma, Alejandro. 2019. Competition among Predators and Allee Effect on Prey, Their Influence on a Gause-Type Predation Model. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-19.
https://search.emarefa.net/detail/BIM-1195363
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
González-Olivares, Eduardo…[et al.]. Competition among Predators and Allee Effect on Prey, Their Influence on a Gause-Type Predation Model. Mathematical Problems in Engineering No. 2019 (2019), pp.1-19.
https://search.emarefa.net/detail/BIM-1195363
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
González-Olivares, Eduardo& Cabrera-Villegas, Javier& Córdova-Lepe, Fernando& Rojas-Palma, Alejandro. Competition among Predators and Allee Effect on Prey, Their Influence on a Gause-Type Predation Model. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-19.
https://search.emarefa.net/detail/BIM-1195363
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1195363
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر