A study of fractional Lotka-Volterra population model using Haar wavelet and Adams-Bashforth-Moulton methods

被引：266

作者：

Kumar, Sunil ^{[1
]}

Kumar, Ranbir ^{[1
]}

Agarwal, Ravi P. ^{[2
]}

Samet, Bessem ^{[3
]}

机构：

[1] Natl Inst Technol, Dept Math, Jamshedpur 831014, Jharkhand, India

[2] Texas A&M Univ, Dept Math, Kingsville, TX USA

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 08期

关键词：

Adams-Bashforth-Moulton method; fractional LV model; Haar wavelet method; operational matrix; FREE-VIBRATION ANALYSIS; ORDER PREDATOR-PREY; DIFFERENTIAL-EQUATIONS; NUMERICAL-SIMULATION; ERROR ANALYSIS;

D O I：

10.1002/mma.6297

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Lotka-Volterra (LV) system is an interesting mathematical model because of its significant and wide applications in biological sciences and ecology. A fractional LV model in the Caputo sense is investigated in this paper. Namely, we provide a comparative study of the considered model using Haar wavelet and Adams-Bashforth-Moulton methods. For the first method, the Haar wavelet operational matrix of the fractional order integration is derived and used to solve the fractional LV model. The main characteristic of the operational method is to convert the considered model into an algebraic equation which is easy to solve. To demonstrate the efficiency and accuracy of the proposed methods, some numerical tests are provided.

引用

页码：5564 / 5578

页数：15

共 63 条

[1] Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models [J].