Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative

Udoka Benedict Odionyenma; Nometa Ikenna; Bolarinwa Bolaji

doi:10.53391/mmnsa.1320175

EN

Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative

Abstract

This paper investigates a fractional derivative model of Chlamydia-Gonorrhea co-infection using Caputo derivative definition. The positivity boundedness of the model is established using Laplace transform. Additionally, we investigated the existence and uniqueness of the model using methods established by some fixed point theorems. We concluded that the model is Ulam-Hyers-Rassias stable. Furthermore, we obtained plots of the model at different fractional derivative orders, which show the significant role played by the fractional order on various classes of the model as it varies. We observe distinct results for each class in different orders, highlighting the importance of considering the fractional order in modeling Chlamydia-Gonorrhea co-infection. Moreover, the fractional model presented in this paper can be used to study the dynamics of Chlamydia-Gonorrhea co-infection in a more accurate and realistic way compared to traditional integer-order models.

Keywords

Chlamydia, Gonorrhea, fractional derivative, co-infection, control

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Details

Primary Language

English

Subjects

Ordinary Differential Equations, Difference Equations and Dynamical Systems, Biological Mathematics, Applied Mathematics (Other)

Journal Section

Research Article

Authors

Udoka Benedict Odionyenma ^*
0000-0002-2602-8736
Nigeria

Nometa Ikenna This is me
0000-0001-6461-8158
United States

Bolarinwa Bolaji This is me
0000-0001-8251-4053
Nigeria

Early Pub Date

June 30, 2023

Publication Date

June 30, 2023

Submission Date

February 7, 2023

Acceptance Date

June 7, 2023

Published in Issue

Year 2023 Volume: 3 Number: 2

DOI

https://doi.org/10.53391/mmnsa.1320175

IZ

https://izlik.org/JA96KP84RL

APA

Odionyenma, U. B., Ikenna, N., & Bolaji, B. (2023). Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative. Mathematical Modelling and Numerical Simulation With Applications, 3(2), 111-140. https://doi.org/10.53391/mmnsa.1320175

AMA

1.Odionyenma UB, Ikenna N, Bolaji B. Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative. MMNSA. 2023;3(2):111-140. doi:10.53391/mmnsa.1320175

Chicago

Odionyenma, Udoka Benedict, Nometa Ikenna, and Bolarinwa Bolaji. 2023. “Analysis of a Model to Control the Co-Dynamics of Chlamydia and Gonorrhea Using Caputo Fractional Derivative”. Mathematical Modelling and Numerical Simulation With Applications 3 (2): 111-40. https://doi.org/10.53391/mmnsa.1320175.

EndNote

Odionyenma UB, Ikenna N, Bolaji B (June 1, 2023) Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative. Mathematical Modelling and Numerical Simulation with Applications 3 2 111–140.

IEEE

[1]U. B. Odionyenma, N. Ikenna, and B. Bolaji, “Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative”, MMNSA, vol. 3, no. 2, pp. 111–140, June 2023, doi: 10.53391/mmnsa.1320175.

ISNAD

Odionyenma, Udoka Benedict - Ikenna, Nometa - Bolaji, Bolarinwa. “Analysis of a Model to Control the Co-Dynamics of Chlamydia and Gonorrhea Using Caputo Fractional Derivative”. Mathematical Modelling and Numerical Simulation with Applications 3/2 (June 1, 2023): 111-140. https://doi.org/10.53391/mmnsa.1320175.

JAMA

1.Odionyenma UB, Ikenna N, Bolaji B. Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative. MMNSA. 2023;3:111–140.

MLA

Odionyenma, Udoka Benedict, et al. “Analysis of a Model to Control the Co-Dynamics of Chlamydia and Gonorrhea Using Caputo Fractional Derivative”. Mathematical Modelling and Numerical Simulation With Applications, vol. 3, no. 2, June 2023, pp. 111-40, doi:10.53391/mmnsa.1320175.

Vancouver

1.Udoka Benedict Odionyenma, Nometa Ikenna, Bolarinwa Bolaji. Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative. MMNSA. 2023 Jun. 1;3(2):111-40. doi:10.53391/mmnsa.1320175

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Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative

Analysis of a model to control the co-dynamics of Chlamydia and Gonorrhea using Caputo fractional derivative

Abstract

Keywords

Abstract

References

Details

Primary Language

Subjects

Journal Section

Authors

Early Pub Date

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

A numerical approach for an epidemic SIR model via Morgan-Voyce series

On analyzing two dimensional fractional order brain tumor model based on orthonormal Bernoulli polynomials and Newton's method

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An accurate finite difference formula for the numerical solution of delay-dependent fractional optimal control problems

Mathematical analysis of a new dimensionalized fractal-fractional operator with application to colorectal cancer treatment model