ON NONLINEAR FRACTIONAL-ORDER MATHEMATICAL MODEL OF FOOD-CHAIN

被引：5

作者：

Nisar, Kottakkaran Sooppy ^{[1
]}

Rahman, Mati Ur ^{[2
]}

Laouini, Ghaylen ^{[3
]}

Shutaywi, Meshal ^{[4
]}

Arfan, Muhammad ^{[5
]}

机构：

[1] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

[2] Shanghai Jiao Tong Univ, Dept Math, 800 Dongchuan Rd, Shanghai, Peoples R China

[3] Amer Univ Middle East, Coll Engn & Technol, Kuwait, Kuwait

[4] King Abdulaziz Univ, Coll Sci & Arts, Dept Math, POB 344, Rabigh 21911, Saudi Arabia

[5] Univ Malakand, Dept Math, Chakdara Dir L 18000, Khyber Pakhtunk, Pakistan

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 01期

关键词：

Food-Chain Model; Existence Result; ABC Derivative; Adams-Bashforth Method; PREDATOR-PREY MODEL; DEANGELIS FUNCTIONAL-RESPONSE; LAPLACE ADOMIAN DECOMPOSITION; INTERFERENCE; DYNAMICS; CHAOS; DELAY; TIME;

D O I：

10.1142/S0218348X2240014X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the dynamical semi-analysis of the delayed food chain model under the considered fractional order. The food chain model is composed of three compartments, namely, population of the prey, intermediate predator and a top predator. By using the fixed point theorem approach, we exploit some conditions for existence results and stability for the considered system via Atangana-Baleanu-Caputo derivative with fractional order. Also, using the well-known Adam-Bashforth technique for numerics, we simulate the concerning results for the interference between the prey and intermediate predator. Graphical results are discussed for different fractional-order values for the considered model.

引用

页数：12

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