Computational analysis and chaos control of the fractional order syphilis disease model through modeling

Farman, Muhammad; Nisar, Kottakkaran Sooppy; Shehzad, Aamir; Baleanu, Dumitru; Amjad, Ayesha; Sultan, Faisal

doi:10.1016/j.asej.2024.102743

Ain Shams Engineering Journal

2024

DOI: 10.1016/j.asej.2024.102743

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Computational analysis and chaos control of the fractional order syphilis disease model through modeling

Muhammad Farman,

Kottakkaran Sooppy Nisar,

Aamir Shehzad

et al.

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2024

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Cited by 3 publications

References 23 publications

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Mathematical modelling of the impacts of syphilis multi-stage treatments

Olopade,

Ajao,

Akinwumi

et al. 2024

Model. Earth Syst. Environ.

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Mathematical modelling of the impacts of syphilis multi-stage treatments

Olopade,

Ajao,

Akinwumi

et al. 2024

Model. Earth Syst. Environ.

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A constructive numerical approach to solve the Fractional Modified Camassa–Holm equation

Nisar

2024

Alexandria Engineering Journal

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Fractional‐Order Epidemic Model for Measles Infection

Akuka,

Seidu,

Okyere

et al. 2024

Scientifica

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In this study, a nonlinear dynamic SEVIQR measles epidemic model is constructed and analyzed using the novel Caputo fractional‐order derivative operator. The model’s existence and uniqueness are established. In addition, the model equilibria are determined, and the novel Jacobian determinant method recently constructed in the literature of epidemiological modeling of infectious diseases is applied to determine the threshold quantity, . Furthermore, we construct appropriate Lyapunov functions to establish the global asymptotic stability of the disease‐free and endemic equilibrium points. Finally, the numerical solution of the model is executed employing the efficient and widely known Adams‐type predictor‐corrector iterative scheme, and simulation is conducted to investigate the impact of memory index and diverse preventive measures on the occurrence of the disease. Numerical simulation of the model indicates that quarantine, vaccination, and treatment can reduce the numbers of infectious and exposed populations, thereby controlling the disease. Therefore, it is recommended that the government provide financial assistance for vaccine distribution.

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Computational analysis and chaos control of the fractional order syphilis disease model through modeling

Cited by 3 publications

References 23 publications

Mathematical modelling of the impacts of syphilis multi-stage treatments

Mathematical modelling of the impacts of syphilis multi-stage treatments

A constructive numerical approach to solve the Fractional Modified Camassa–Holm equation

Fractional‐Order Epidemic Model for Measles Infection

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