A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel

• 作者: Devendra Kumar Dumitru Baleanu Jagdev Singh
• 来源期刊: 生物数学学报:英文版
• 学科: 数学
• 关键词: Fish farm dynamical model Atangana-Baleanu fractional derivative Picard-Lindelof approach fixed point theorem stability analysis
• 年，卷（期）: 2020,（2）
• 页码范围: 35-51
• 页数: 17页
• 分类号: O17

摘要

In this paper,we analyze the dynamical behavior of fish farm model related to Atangana-Baleanu derivative of arbitrary order.The rnodel is constituted with the group of non-linear differential equations having nutrients,fish and mussel.We have included discrete kind gestational delay of fish.The solution of fish farm model is determined by employing homotopy analysis transforms method(HATM).Existence of and uniqueness of solution are studied through Picard-Lindelof approach.The influence of order of new non-integer order derivative on nutrients,fish and mussel is discussed.The complete study reveals that the outer food supplies manage the behavior of the model.Moreover,to show the outcomes of the study,some numerical results are demonstrated through graphs.