THE ROLE of ADDITIONAL FOOD in A PREDATOR-PREY MODEL with A PREY REFUGE

Sudip Samanta, Rikhiya Dhar, Ibrahim M. Elmojtaba, Joydev Chattopadhyay*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمراجعة النظراء

20 اقتباسات (Scopus)

ملخص

In this paper, we propose and analyze a predator-prey model with a prey refuge and additional food for predators. We study the impact of a prey refuge on the stability dynamics, when a constant proportion or a constant number of prey moves to the refuge area. The system dynamics are studied using both analytical and numerical techniques. We observe that the prey refuge can replace the predator-prey oscillations by a stable equilibrium if the refuge size crosses a threshold value. It is also observed that, if the refuge size is very high, then the extinction of the predator population is certain. Further, we observe that enhancement of additional food for predators prevents the extinction of the predator and also replaces the stable limit cycle with a stable equilibrium. Our results suggest that additional food for the predators enhances the stability and persistence of the system. Extensive numerical experiments are performed to illustrate our analytical findings.

اللغة الأصليةEnglish
الصفحات (من إلى)345-365
عدد الصفحات21
دوريةJournal of Biological Systems
مستوى الصوت24
رقم الإصدار2-3
المعرِّفات الرقمية للأشياء
حالة النشرPublished - سبتمبر 1 2016
منشور خارجيًانعم

ASJC Scopus subject areas

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  • ???subjectarea.asjc.1100.1101???
  • ???subjectarea.asjc.2600.2604???

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