Dynamical Analysis of New Fractional Order ZIKV Model with Nonlinear Incidence Rate

The ZIKV model provided is derived by adapting the model proposed by \cite{Hidayati2021}. This study enhances the existing model by transforming it into a fractional-order ZIKV model with a nonlinear incidence rate. The model's equilibrium points are identified, and the stability conditions for each point are evaluated using the Routh-Hurwitz criterion. A numerical simulation is performed to validate the stability study results. Numerical simulations further demonstrate the impact of the order $\alpha$ on the stability of the equilibrium point inside the model.

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Publication Details

Journal
Jurnal Riset Mahasiswa Matematika
Published
2025-04-23
DOI
https://doi.org/10.18860/jrmm.v4i4.31194
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

Dynamical Analysis of New Fractional Order ZIKV Model with Nonlinear Incidence Rate

Nurul Hidayati
Jurnal Riset Mahasiswa Matematika
Fractional Differential Equations Solutions
article

Dynamical Analysis of New Fractional Order ZIKV Model with Nonlinear Incidence Rate

Nurul Hidayati
article en

Abstract

The ZIKV model provided is derived by adapting the model proposed by \cite{Hidayati2021}. This study enhances the existing model by transforming it into a fractional-order ZIKV model with a nonlinear incidence rate. The model's equilibrium points are identified, and the stability conditions for each point are evaluated using the Routh-Hurwitz criterion. A numerical simulation is performed to validate the stability study results. Numerical simulations further demonstrate the impact of the order $\alpha$ on the stability of the equilibrium point inside the model.

Jurnal Riset Mahasiswa MatematikaVol. 4(4)
Openalex Percentile: Top 90%
Fractional Differential Equations Solutions
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Dynamical Analysis of New Fractional Order ZIKV Model with Nonlinear Incidence Rate — Nurul Hidayati · Jurnal Riset Mahasiswa Matematika (2025) | TGRS Research Map | TGRS