05 تیر 1403
بهزاد قنبري

بهزاد قنبری

مرتبه علمی: دانشیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن:
دانشکده: دانشکده علوم پایه و کاربردی

مشخصات پژوهش

عنوان
Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Computational biology Predator-prey model Fractional-derivative Predator-infection Numerical scheme Hopf bifurcation
پژوهشگران بهزاد قنبری (نفر اول)، صالیح جلالی (نفر دوم)

چکیده

This manuscript aims to consider a variety of fractional predator-prey models in the presence of an infection developed in the predator population. The crowding behavior plays an essential role in some species surviving, which is a useful strategy for defending the inside group prey. The purpose of considering the fractional-order-derivative is to study the memory effects on the mutual interactions, which has been confirmed to be an intrinsic feature of a dynamic biological system. From the perspective of mathematical results, the local behavior of the equilibrium points, and the existence of Hopf bifurcation are obtained. Besides, the influence of some crucial parameters as memory rate, herd shape, the infection rate in determining the asymptotic behavior of prey and predator are investigated. Further, an efficient numerical technique has been employed to illustrate some illustrative representations for numerical approximation for the solutions. This iterative scheme has been designed using the fundamental theorem of calculus in the fractional sense, and linear polynomial interpolation.