International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 9, Issue 7 (July 2022), Pages: 150-158

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 Original Research Paper

 Perturbation and bifurcation analysis of a gonorrhoea dynamics model with control

 Author(s): Louis Omenyi 1, 2, *, Aloysius Ezaka 3, Henry O. Adagba 3, Friday Oyakhire 1, Kafayat Elebute 1, Akachukwu Offia 1, Monday Ekhator 1

 Affiliation(s):

 1Department of Mathematics and Statistics, Alex Ekwueme Federal University, Ndufu-Alike, Nigeria
 2Department of Mathematical Sciences, Loughborough University, Loughborough, UK
 3Department of Industrial Mathematics and Applied Statistics, Ebonyi State University, Abakaliki, Nigeria

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0002-8628-0298

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2022.07.015

 Abstract:

A model for the transmission dynamics of Gonorrhoea with control incorporating passive immunity is formulated. We show that the introduction of treatment or control parameters leads to transcritical bifurcation. The backward bifurcation coefficients were calculated and their numerical perturbation results in different forms of equilibria. The calculated effective reproduction number of the model with control is sufficiently small. This implies asymptotically stability of the solution, thus, the disease can be controlled in a limited time.

 © 2022 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Gonorrhoea, Passive immunity, Reproduction number, Stability, Bifurcation

 Article History: Received 22 December 2021, Received in revised form 26 March 2022, Accepted 22 April 2022

 Acknowledgment 

The first author thanks the leadership and members of the Seminar and Research Committee of the Department of Mathematics and Statistics of the Alex Ekwueme Federal University, Ndufu-Alike for their valuable scientific discussions that facilitated the completion of this research. All the authors express sincere gratitude to their family members for providing support to work.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Omenyi L, Ezaka A, and Adagba HO et al. (2022). Perturbation and bifurcation analysis of a gonorrhoea dynamics model with control. International Journal of Advanced and Applied Sciences, 9(7): 150-158

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 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig. 5 

 Tables

 Table 1  

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