Mathematical Modeling of the Transmission Dynamics of Secondary Syphilis Co-Infected with Measles

Innocent Cleopas Eli
Additional contact information
Innocent Cleopas Eli: Department of Mathematics and Statistics, Federal University Otuoke, Bayelsa State, Nigeria

International Journal of Research and Innovation in Applied Science, 2025, vol. 10, issue 2, 588-602

Abstract: Disease generally are disorder in plants or animals. The study examined the transmission dynamics of secondary syphilis that is co-infected with measles. The work basically is divided into four important compartments which are immigration factor in the susceptible, syphilis infected, syphilis latent and measles infected compartment. It was observed that no infection free equilibrium exists analytically due to immigration factor, thus, the endemic equilibrium points as the only equilibrium point was obtained. The analytical investigation of the behaviour of the sub-models for secondary syphilis and measles was done with the help of deterministic techniques. It is observed that the asymptotically stable system since all coefficients of equation are positive. Finally, the numerical investigation with the help of MATLAB established the sensitivity of the parameters such that while an increase in all parameters considered increased, the co-infected class did not show any effect on co-infected class. Due to the introduction of immigration factor, the disease-free equilibrium did not exist. Through analytical studies, it is determined that the endemic equilibrium point through which the establishment of the stability of the secondary syphilis and measles sub-models and the coinfection model were achieved. The study went further to numerically simulate the results of the proposed model and obtained the time series plots for each sub-model and the coinfection model. It is observed that the numerical results agreed with analytical findings. It also established the sensitivity of the parameters

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.rsisinternational.org/journals/ijrias/ ... -issue-2/588-602.pdf (application/pdf)
https://rsisinternational.org/journals/ijrias/arti ... fected-with-measles/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bjf:journl:v:10:y:2025:i:2:p:588-602

Access Statistics for this article

International Journal of Research and Innovation in Applied Science is currently edited by Dr. Renu Malsaria

More articles in International Journal of Research and Innovation in Applied Science from International Journal of Research and Innovation in Applied Science (IJRIAS)
Bibliographic data for series maintained by Dr. Renu Malsaria ().