Dynamics and stability analysis of fractional model for El-Nin˜o involving delay

Aman Jhinga and Varsha Daftardar-Gejji

Chaos, Solitons & Fractals, 2021, vol. 151, issue C

Abstract: In this paper we propose a model for El-Nin˜o Southern Oscillations (ENSO) involving Caputo fractional derivative. We prove the existence and uniqueness of the solutions and perform the stability and bifurcation analysis of the fractional model. Numerical simulations are carried out to study the effects of fractional derivative and illustrate the efficacy of theoretical analysis.

Keywords: Caputo fractional derivative; El-Nin˜o model; Delay; Stability; Bifurcation analysis; Numerical simulations (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921005877

DOI: 10.1016/j.chaos.2021.111233

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