![](/images/graphics-bg.png)
Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest
المؤلفون المشاركون
Agmour, Imane
Bentounsi, Meriem
Achtaich, Naceur
El Foutayeni, Youssef
المصدر
International Journal of Differential Equations
العدد
المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-17، 17ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2017-12-26
دولة النشر
مصر
عدد الصفحات
17
التخصصات الرئيسية
الملخص EN
Bioeconomic modeling of the exploitation of biological resources such as fisheries has gained importance in recent years.
In this work we propose to define and study a bioeconomic equilibrium model for two fishermen who catch three species taking into consideration the fact that the prices of fish populations vary according to the quantity harvested; these species compete with each other for space or food; the natural growth of each species is modeled using a logistic law.
The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable management of the resources and the second one is the preservation of the biodiversity.
The existence of the steady states and their stability are studied using eigenvalue analysis.
The problem of determining the equilibrium point that maximizes the profit of each fisherman leads to Nash equilibrium problem; to solve this problem we transform it into a linear complementarity problem (LCP); then we prove that the obtained problem (LCP) admits a unique solution that represents the Nash equilibrium point of our problem.
We close our paper with some numerical simulations.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Agmour, Imane& Bentounsi, Meriem& Achtaich, Naceur& El Foutayeni, Youssef. 2017. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations،Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1165833
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Agmour, Imane…[et al.]. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations No. 2017 (2017), pp.1-17.
https://search.emarefa.net/detail/BIM-1165833
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Agmour, Imane& Bentounsi, Meriem& Achtaich, Naceur& El Foutayeni, Youssef. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations. 2017. Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1165833
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1165833
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
![](/images/ebook-kashef.png)
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
![](/images/kashef-image.png)