Dynamical Analysis of a Beddington–DeAngelis Interacting Species System with Prey Harvesting
المؤلفون المشاركون
Kim, Kyoung-Hwan
Guin, Lakshmi Narayan
Murmu, Reeta
Baek, Hunki
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-22، 22ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-10-28
دولة النشر
مصر
عدد الصفحات
22
التخصصات الرئيسية
الملخص EN
A reaction–diffusion interacting species system with Beddington–DeAngelis functional response that has been proposed in the environment of mathematical ecology, which provides the rise to spatial pattern formation, is investigated and associated with the models of deterministic dynamics.
The dynamical behaviour of a generalist predator–prey system with linear harvesting of each species and predator-dependent functional response is fully analyzed.
Conditions of stability behaviour of the interior equilibrium point are established properly.
Furthermore, we have recognized that the unique positive equilibrium point of the system is globally stable via appropriate Lyapunov function structure, which signifies that appropriate harvesting has no impact on the persistence property of the harvesting system.
Also, we establish the conditions for the existence of bifurcation phenomena including a saddle-node bifurcation and a Hopf bifurcation.
Subsequently, complete analysis regarding the impact of harvesting is carried out, and an interesting decision is that under some appropriate constraints, harvesting has immense impact on the final size of the interacting species.
In addition, in accordance with Turing’s ideas on morphogenesis , our analysis shows that harvesting effort in a reaction–diffusion predator–prey system plays a vital function for geological conservation of interacting species.
Finally, we discuss sufficient conditions for the existence of bionomic equilibrium point and the optimal harvesting policy attained by using the Pontryagin maximal principle.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Guin, Lakshmi Narayan& Murmu, Reeta& Baek, Hunki& Kim, Kyoung-Hwan. 2020. Dynamical Analysis of a Beddington–DeAngelis Interacting Species System with Prey Harvesting. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-22.
https://search.emarefa.net/detail/BIM-1200624
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Guin, Lakshmi Narayan…[et al.]. Dynamical Analysis of a Beddington–DeAngelis Interacting Species System with Prey Harvesting. Mathematical Problems in Engineering No. 2020 (2020), pp.1-22.
https://search.emarefa.net/detail/BIM-1200624
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Guin, Lakshmi Narayan& Murmu, Reeta& Baek, Hunki& Kim, Kyoung-Hwan. Dynamical Analysis of a Beddington–DeAngelis Interacting Species System with Prey Harvesting. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-22.
https://search.emarefa.net/detail/BIM-1200624
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1200624
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