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.

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