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| A Compartmental Approach for Effective Control and Possible Elimination of Gonorrhea |
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| KeyWord:Mathematical model, gonorrhea, equilibrium, interventions, isolation |
| Author Name | Affiliation | | Abayomi Ayotunde Ayoade | Department of Mathematics, Faculty of Physical and Earth Sciences, University of Lagos, Lagos, Nigeria | | Opeyemi Odetunde | Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Ilorin, Nigeria | | John Olajide Akanni | Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105,Tamil Nadu, India
Department of Mathematical and Computing Sciences, Koladaisi University, Ibadan, Oyo State |
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| Abstract: |
| In this work, a compartmental mathematical model for the transmission dynamics of gonorrhea under prevention and control was proposed, with condom usage serving as a prevention and isolation and treatment serving as controls. The model was shown to have unique solutions and the solutions were also shown to be positive and bounded. The infection-free equilibrium was derived to establish possible eradication of the disease transmission. The endemic equilibrium was also computed to show the possibility of the disease persistence in the population. The threshold for the disease persistence or eradication was computed and the stability of equilibria analyzed. The sensitivity indices of the system parameters were computed to examine the relative importance of the parameters to gonorrhea spread and management. The model was studied quantitatively, using mathematical software MAPLE, to visualize the effect of preventive and control interventions on the dynamics of gonorrhea. Results from the analytical and numerical studies revealed the long term effects of gonorrhea prevention in terms of condom usage and gonorrhea control in terms of isolation and treatment and showed that while gonorrhea could be difficult to eradicate, strong condom efficacy and strict compliance with condom usage in addition to adequate isolation of the infectives for treatment were sufficient to achieve rapid minimization of gonorrhea infection and spread. |
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