A delayed prey–predator system with prey subject to the strong Allee effect and disease

Santanu Biswas, Md Saifuddin, Sourav Kumar Sasmal, Sudip Samanta, Nikhil Pal, Faisal Ababneh, Joydev Chattopadhyay*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمراجعة النظراء

39 اقتباسات (Scopus)

ملخص

In this article, an eco-epidemiological model with strong Allee effect in prey population growth is presented by a system of delay differential equations. The time lag in terms of the delay parameter corresponds to the predator gestation period. We inspect elementary mathematical characteristic of the proposed model such as uniform persistence, stability and Hopf bifurcation at the interior equilibrium point of the system. We execute several numerical simulations to illustrate the proposed mathematical model and our analytical findings. We use basic tools of nonlinear dynamic analysis as first return maps, Poincare sections and Lyapunov exponents to identify chaotic behavior of the system. We observe that the system exhibits chaotic oscillation due to the increase of the delay parameter. Such chaotic behavior can be suppressed by the strength of Allee effect.

اللغة الأصليةEnglish
الصفحات (من إلى)1569-1594
عدد الصفحات26
دوريةNonlinear Dynamics
مستوى الصوت84
رقم الإصدار3
المعرِّفات الرقمية للأشياء
حالة النشرPublished - مايو 1 2016

ASJC Scopus subject areas

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