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A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods by Sunil Kumar; Ranbir Kumar; Ravi P. Agarwal; Bessem Samet is a Mathematics article available to read on EtoBox.

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Baleanu 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.

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Author

Sunil Kumar; Ranbir Kumar; Ravi P. Agarwal; Bessem Samet

Publisher

Wiley

Published

2020

Language

EN

Field

Mathematics (Physical Sciences)