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Coexistence of pathogens in sexually-transmitted disease models

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Abstract.

We present a sexually-transmitted disease (STD) model for two strains of pathogen in a one-sex, heterogeneously-mixing population, where the dynamics are of SIS (susceptible/infected/susceptible) type, and there are two different groups of individuals. We analyze all equilibria for the case where contacts are modeled via proportionate (random) mixing. We find that both strains may under suitable circumstances coexist, and that it is the heterogeneous mixing that creates ‘‘refuges’’ for each strain as each population group favors one particular strain.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL, 35899, U.S.A

    Jia Li

  2. Department of Applied Mathematics, Xian Jiaotong University, Xian, 710049, China

    Zhien Ma

  3. Department of Statistics and Modelling Science, University of Strathclyde, Glasgow, G1 1XH, Scotland

    Steve P. Blythe

  4. Department of Biological Statistics and Computational Biology, Mathematical and Theoretical Biology Institute, Cornell University, Ithaca, NY, 14853, U.S.A

    Carlos Castillo-Chavez

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  1. Jia Li
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  2. Zhien Ma
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  3. Steve P. Blythe
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  4. Carlos Castillo-Chavez
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Corresponding author

Correspondence to Jia Li.

Additional information

This author was partially supported under Chinese NSF grant 19971066.

This author was partially supported by The Research Center for Sciences, Xian Jiaotong University, while visiting Xian Jiaotong University, Xian, China.

The authors thank two anonymous reviewers for their valuable comments and suggestions.

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Li, J., Ma, Z., Blythe, S. et al. Coexistence of pathogens in sexually-transmitted disease models. J. Math. Biol. 47, 547–568 (2003). https://doi.org/10.1007/s00285-003-0235-5

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  • DOI: https://doi.org/10.1007/s00285-003-0235-5

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