LAGUERRE WAVELET METHOD FOR FRACTIONAL PREDATOR–PREY POPULATION MODEL-Reference-Cited by-同舟云学术

LAGUERRE WAVELET METHOD FOR FRACTIONAL PREDATOR–PREY POPULATION MODEL

Published:2022-09-24 Issue:08 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ALZAID SARA S.¹,KUMAR RANBIR²,CHAUHAN R. P.³,KUMAR SUNIL¹³⁴⁵

Affiliation:

1. Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia

2. Department of Mathematics, Maharani Janki Kunwar College, Bettiah, 845438 Bihar, India

3. Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, India

4. Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE

5. Department of Mathematics, University Centre for Research and Development, Chandigarh University, Gharuan, Mohali, Punjab, India

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.

Funder

King Saud University, Riyadh, Saudi Arabia

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22402150

Reference36 articles.

1. A nonlinear fractional model to describe the population dynamics of two interacting species

2. A new fractional model for giving up smoking dynamics

3. Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative

4. Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel

5. On the concept of solution for fractional differential equations with uncertainty

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence, uniqueness and Ulam–Hyers stability result for variable order fractional predator-prey system and it's numerical solution;Applied Numerical Mathematics;2025-01

2. Study of the Spreading Behavior of the Biological SIR Model of COVID-19 Disease Through a Fast Fibonacci Wavelet-Based Computational Approach;International Journal of Applied and Computational Mathematics;2024-05-06

3. Spreading behavior of biological SIR system of a COVID-19 disease through a fast Taylor wavelet based numerical algorithm;Results in Control and Optimization;2023-12

4. A fast Fibonacci wavelet-based numerical algorithm for the solution of HIV-infected $$\textrm{CD4}^{+}\,\textrm{T}$$ cells model;The European Physical Journal Plus;2023-05-25