A model for the dynamical study of food-chain system considering interference of top predator in a polluted environment
محل انتشار: مجله مدلسازی ریاضی، دوره: 3، شماره: 2
سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 49
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شناسه ملی سند علمی:
JR_JMMO-3-2_005
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
The modeling investigation in this paper discusses the system level effects of a toxicant on a three species food chain system. In the models, we have assumed that the presence of top predator reduces the predatory ability of the intermediate predator. The stability analysis of the models is carried out and the sufficient conditions for the existence and extinction of the populations under the stress of toxicant are obtained. Further, it is also found that the predation rate of the intermediate predator is a bifurcating parameter and Hopf-bifurcation occurs at some critical value of this parameter. Finally, numerical simulation is carried out to support the analytical results.
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نویسندگان
Om Prakash Misra
School of Mathematics and Allied Sciences, Jiwaji University, Gwalior-۴۷۴ ۰۱۱, India
Raveendra Babu Annavarapu
School of Mathematics and Allied Sciences, Jiwaji University, Gwalior-۴۷۴ ۰۱۱, India