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A practical numerical approach to solve a fractional Lotka–Volterra population model with non-singular and singular kernels

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  • Ravi Kanth, A.S.V.
  • Devi, Sangeeta

Abstract

This paper investigate the dynamical behavior of the fractional Lotka–Volterra dynamic model. The proposed model is examined through fractional derivatives with singular and non-singular kernels. The Newton polynomial-based computational scheme is used to solve the Lotka–Volterrapopulation model with non-local operators. An error estimation of the proposed method is given. The findings of the simulation reveal that the model provided on the basis of three separate fractional operators displays distinct asymptomatic actions that do not exist within the modeling of the integer-order. Finally, computational results are presented to check the accuracy of the scheme, we compared the results with the existing methods.

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  • Ravi Kanth, A.S.V. & Devi, Sangeeta, 2021. "A practical numerical approach to solve a fractional Lotka–Volterra population model with non-singular and singular kernels," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    • Handle: RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921001442
    DOI: 10.1016/j.chaos.2021.110792
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    4. Kumar, Sunil & Kumar, Ajay & Samet, Bessem & Gómez-Aguilar, J.F. & Osman, M.S., 2020. "A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
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    1. Şuayip Yüzbaşı & Gamze Yıldırım, 2023. "A Pell–Lucas Collocation Approach for an SIR Model on the Spread of the Novel Coronavirus (SARS CoV-2) Pandemic: The Case of Turkey," Mathematics, MDPI, vol. 11(3), pages 1-22, January.
    2. Izadi, Mohammad & Yüzbaşı, Şuayip & Adel, Waleed, 2022. "Accurate and efficient matrix techniques for solving the fractional Lotka–Volterra population model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).

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