A study of fractional Lotka-Volterra population model using Haar wavelet and Adams-Bashforth-Moulton methods |
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| Authors: | Sunil Kumar Ranbir Kumar Ravi P. Agarwal Bessem Samet |
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| Affiliation: | 1. Department of Mathematics, National Institute of Technology, Jamshedpur, Jharkhand, India;2. Department of Mathematics, Texas A & M University-Kingvsille, Kingsville, TX, USA;3. Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia |
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| Abstract: | 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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| Keywords: | Adams-Bashforth-Moulton method fractional LV model Haar wavelet method operational matrix |
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