LAGUERRE WAVELET METHOD FOR FRACTIONAL PREDATOR-PREY POPULATION MODEL

Sara S. Alzaid; Ranbir Kumar; R. P. Chauhan; Sunil Kumar

doi:10.1142/S0218348X22402150

LAGUERRE WAVELET METHOD FOR FRACTIONAL PREDATOR-PREY POPULATION MODEL

Sara S. Alzaid
, Ranbir Kumar
, R. P. Chauhan
, Sunil Kumar

Nonlinear Dynamic Research Centre (NDRC)

King Saud University
Maharani Janki Kunwar College
National Institute of Technology Jamshedpur
Chandigarh University

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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.

Original language	English
Article number	2240215
Journal	Fractals
Volume	30
Issue number	8
DOIs	https://doi.org/10.1142/S0218348X22402150
State	Published - 1 Dec 2022

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 15 Life on Land

Keywords

Caputo Derivative
Convergence Analysis
Laguerre Wavelets
Numerical Simulation
Operational Matrix
Predator-Prey Population Model

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Cite this

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title = "LAGUERRE WAVELET METHOD FOR FRACTIONAL PREDATOR-PREY POPULATION MODEL",

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 = "Caputo Derivative, Convergence Analysis, Laguerre Wavelets, Numerical Simulation, Operational Matrix, Predator-Prey Population Model",

author = "Alzaid, \{Sara S.\} and Ranbir Kumar and Chauhan, \{R. P.\} and Sunil Kumar",

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language = "English",

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T1 - LAGUERRE WAVELET METHOD FOR FRACTIONAL PREDATOR-PREY POPULATION MODEL

AU - Alzaid, Sara S.

AU - Kumar, Ranbir

AU - Chauhan, R. P.

AU - Kumar, Sunil

PY - 2022/12/1

Y1 - 2022/12/1

N2 - 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.

AB - 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.

KW - Caputo Derivative

KW - Convergence Analysis

KW - Laguerre Wavelets

KW - Numerical Simulation

KW - Operational Matrix

KW - Predator-Prey Population Model

UR - https://www.scopus.com/pages/publications/85139640826

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DO - 10.1142/S0218348X22402150

M3 - Article

AN - SCOPUS:85139640826

SN - 0218-348X

VL - 30

JO - Fractals

JF - Fractals

IS - 8

M1 - 2240215

ER -

LAGUERRE WAVELET METHOD FOR FRACTIONAL PREDATOR-PREY POPULATION MODEL

Abstract

UN SDGs

Keywords

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