A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods
By Sunil Kumar, Ranbir Kumar, Ravi P. Agarwal, Bessem Samet. Mathematical methods in the applied sciences, 2020
266 citations recorded by the source corpus.
The Lotka‐Volterra (LV) system is an interesting mathematical model because of its significant and wide applications in biological sciences and ecology. A fractional LV model in the Caputo sense is investigated in this paper. Namely, we provide a comparative study of the considered model using Haar wavelet and Adams‐Bashforth‐Moulton methods. For the first method, the Haar wavelet operational matrix of the fractional order integration is derived and used to solve the fractional LV model. The main characteristic of the operational method is to convert the considered model into an algebraic equation which is easy to solve. To demonstrate the efficiency and accuracy of the proposed methods, some numerical tests are provided.
Subfields: Control and Systems Engineering, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/ed072f0017bedb4a6823f089cb7beecda35648ec
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Citations in the corpus
- A study on fractional predator–prey–pathogen model with Mittag–Leffler kernel‐based operators (2020, background): “In the past few years, various types of predator–prey models have been perused by many authors such as Kumar et al. [54, 55], Ghanbari et al. [56–59], Huang et al. [60], Alidousti et al. [61], Zhou et al. [62], Wang et al. [63], Das et al. [64], Li et al. [65], Ghaziani et al. [66], Ahmed et al.…”
- On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique (2020, unknown): “Taking the wave transformation (13) into account along with performing some algebraic calculations, one gets ∂Ξν(μ, η) ∂ην = ∂ Ξν(μ, η) ∂λν ( ∂λ ∂η )ν = −l d Ξν(λ) dλν , (14)”