عنوان
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A generalized approach of the Gilpin-Ayala model with fractional derivatives under numerical simulation
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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asymptotically; periodic functions; Gilpin–Ayala prey-predator
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چکیده
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In this article, we study the existence and uniqueness of multiple positive periodic solutions for a Gilpin–Ayala predator-prey model under consideration by applying asymptotically periodic functions. The result of this paper is completely new. By using Comparison Theorem and some technical analysis, we showed that the classical nonlinear fractional model is bounded. The Banach contraction mapping principle was used to prove that the model has a unique positive asymptotical periodic solution. We provide an example and numerical simulation to inspect the correctness and availability of our essential outcomes.
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پژوهشگران
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مانل عمدونی (نفر اول)، جهاد الزبوت (نفر دوم)، محمداسماعیل سامعی (نفر سوم)، واروات سودسوتاد (نفر چهارم)، چاتهای تایپرایون (نفر پنجم)
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