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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. KEYWORDS Adams-Bashforth-Moulton method, fractional LV model, Haar wavelet method, operational matrix MSC CLASSIFICATION 26A33; 34A08; 34A34 Math Meth Appl Sci. 2020;43:5564-5578. wileyonlinelibrary.com/journal/mma

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