A discrete-time model with non-monotonic functional response and strong Allee effect in prey

Ziyad AlSharawi, Saheb Pal, Nikhil Pal, Joydev Chattopadhyay*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمراجعة النظراء

2 اقتباسات (Scopus)

ملخص

In this paper, we investigate the impact of strong Allee effect on the stability of a discrete-time predator–prey model with a non-monotonic functional response. The dynamics of discrete-time predator–prey models with strong Allee effect is studied earlier. But, the mathematical investigations of predator–prey dynamics in discrete-time set up with Holling type-IV functional response and strong Allee effect in prey are lacking. The proposed model supports the coexistence of two steady states, and the mathematical features of the model are analyzed based on local stability and bifurcation theory. By considering the Allee parameter as the bifurcation parameter, we provide sufficient conditions for the flip and the Neimark–Sacker bifurcations. We observe that Allee parameter plays a significant role in the dynamics of the system.

اللغة الأصليةEnglish
الصفحات (من إلى)404-431
عدد الصفحات28
دوريةJournal of Difference Equations and Applications
مستوى الصوت26
رقم الإصدار3
المعرِّفات الرقمية للأشياء
حالة النشرPublished - مارس 3 2020

ASJC Scopus subject areas

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