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Chancroid transmission dynamics: a mathematical modeling approach

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Abstract

Mathematical models have long been used to better understand disease transmission dynamics and how to effectively control them. Here, a chancroid infection model is presented and analyzed. The disease-free equilibrium is shown to be globally asymptotically stable when the reproduction number is less than unity. High levels of treatment are shown to reduce the reproduction number suggesting that treatment has the potential to control chancroid infections in any given community. This result is also supported by numerical simulations which show a decline in chancroid cases whenever the reproduction number is less than unity.

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Acknowledgments

The authors thank reviewers for comments which led to the improvement of the article.

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Authors and Affiliations

  1. Department of Mathematics, University of Zimbabwe, P. O. Box MP 167, Mount Pleasant, Harare, Zimbabwe

    C. P. Bhunu

  2. Department of Applied Mathematics, Modelling Biomedical Systems Research Group, National University of Science and Technology, P. O. Box AC 939, Ascot, Bulawayo, Zimbabwe

    S. Mushayabasa

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  1. C. P. Bhunu
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  2. S. Mushayabasa
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Correspondence to C. P. Bhunu.

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Bhunu, C.P., Mushayabasa, S. Chancroid transmission dynamics: a mathematical modeling approach. Theory Biosci. 130, 289–298 (2011). https://doi.org/10.1007/s12064-011-0132-1

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  • DOI: https://doi.org/10.1007/s12064-011-0132-1

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