LAGUERRE WAVELET METHOD FOR FRACTIONAL PREDATOR–PREY POPULATION MODEL

Sara S. Alzaid, Ranbir Kumar, R. P. Chauhan and Sunil Kumar
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Sara S. Alzaid: Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia
Ranbir Kumar: Department of Mathematics, Maharani Janki Kunwar College, Bettiah, 845438 Bihar, India
R. P. Chauhan: Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, India
Sunil Kumar: Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia3Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, India4Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE5Department of Mathematics, University Centre for Research and Development, Chandigarh University, Gharuan, Mohali, Punjab, India

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-15

Abstract: The adaptation of fractional calculus (FC) in biological mathematical model takes the research in the area of the public health to a new level. The fractional definitions and related mathematical tools have had a significant impact on biological models analysis. The main goal of this paper is to examine the dynamical behavior of a predator–prey model under Caputo derivative. We analyze some special results such as convergence analysis, stability and operational matrix for the proposed Caputo model. For solution of the model, we present a new numerical technique-based Laguerre wavelet. In addition, we graphically compare the numerical results obtained using Laguerre wavelets and Lagrange polynomial interpolation.

Keywords: Predator–Prey Population Model; Caputo Derivative; Laguerre Wavelets; Convergence Analysis; Operational Matrix; Numerical Simulation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402150

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