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Modeling the impact of optimal screening on typhoid dynamics

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Abstract

A deterministic model for the transmission dynamics of typhoid fever is developed and qualitative analyzed. Infectious symptomatic and asymptomatic individuals are detected and quarantined. The impact of time dependent screening of infectious individuals is explored. Comprehensive analysis of the model suggest that time dependent screening can be effective to control or eliminate new typhoid cases in the community. Further, we note that if there is a typhoid outbreak in the community then screening of both symptomatic and asymptomatic infectious individuals will be viable for a short period of time while in the long-run screening should be devoted to symptomatic patients only.

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Acknowledgments

The author is greatful to anonymous referee and handling editor for their valuable comments and suggestions.

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None declared.

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Authors and Affiliations

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

    Steady Mushayabasa

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  1. Steady Mushayabasa
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Correspondence to Steady Mushayabasa.

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Mushayabasa, S. Modeling the impact of optimal screening on typhoid dynamics. Int. J. Dynam. Control 4, 330–338 (2016). https://doi.org/10.1007/s40435-014-0123-4

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  • DOI: https://doi.org/10.1007/s40435-014-0123-4

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