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

DOI10.1016/j.chaos.2021.110792zbMath1498.65118OpenAlexW3134253031MaRDI QIDQ2131719

A. S. V. Ravi Kanth, Sangeeta Devi

Publication date: 26 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.110792

zbMATH Keywords

Mittag-Leffler kernelexponential decay kernelpower law kernelfractional Lotka-Volterra model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

Related Items

Accurate and efficient matrix techniques for solving the fractional Lotka-Volterra population model, Natural transform decomposition method for the numerical treatment of the time fractional <scp>Burgers–Huxley</scp> equation

Cites Work

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• Fractional calculus for scientists and engineers.
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Recent applications of fractional calculus to science and engineering
• Chaotic behaviour of fractional predator-prey dynamical system
• A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment
• A time-space Hausdorff derivative model for anomalous transport in porous media
• A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions
• Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative
• Couette flows of a viscous fluid with slip effects and non-integer order derivative without singular kernel
• A mathematical model on fractional Lotka-Volterra equations
• A fractional Fokker–Planck equation for non-singular kernel operators
• New Trends in Nanotechnology and Fractional Calculus Applications
• A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods
• A nonlinear fractional model to describe the population dynamics of two interacting species