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<p>In this study, we investigate the numerical solutions of the monkeypox epidemic model using three different methods: ODE45, the Euler method, and the Non-Standard Finite Difference Method (NSFDM). The monkeypox model, an extension of the SEIR (Susceptible-Exposed-Infectious-Recovered) framework, represented by a non-linear system of differential equations with eleven variables: susceptible, vaccinated, exposed, quarantined, hospitalized, and recovered human individuals, as well as susceptible, exposed, infected, and recovered rodent individuals. In proposed model is implemented with specific parameters to represent disease transmission dynamics. In this study includes finding the equilibrium point and examining the disease-free equilibrium. Additionally, the next-generation matrix method is used to calculate the reproduction number. Numerical simulations and graphical representations of the proposed model are performed using MATLAB.</p>

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A comparative analysis of vector-borne disease: monkeypox transmission outbreak

  • 期刊论文

  • 发表日期：

    2025年4月17日

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  • Shyamsunder,
  • Manisha Meena

摘要

In this study, we investigate the numerical solutions of the monkeypox epidemic model using three different methods: ODE45, the Euler method, and the Non-Standard Finite Difference Method (NSFDM). The monkeypox model, an extension of the SEIR (Susceptible-Exposed-Infectious-Recovered) framework, represented by a non-linear system of differential equations with eleven variables: susceptible, vaccinated, exposed, quarantined, hospitalized, and recovered human individuals, as well as susceptible, exposed, infected, and recovered rodent individuals. In proposed model is implemented with specific parameters to represent disease transmission dynamics. In this study includes finding the equilibrium point and examining the disease-free equilibrium. Additionally, the next-generation matrix method is used to calculate the reproduction number. Numerical simulations and graphical representations of the proposed model are performed using MATLAB.