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

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  • Jhinga, Aman
  • Daftardar-Gejji, Varsha

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.

Suggested Citation

  • Jhinga, Aman & Daftardar-Gejji, Varsha, 2021. "Dynamics and stability analysis of fractional model for El-Nin˜o involving delay," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921005877
    DOI: 10.1016/j.chaos.2021.111233
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    References listed on IDEAS

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    1. Singh, Jagdev & Kumar, Devendra & Nieto, Juan J., 2017. "Analysis of an El Nino-Southern Oscillation model with a new fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 109-115.
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