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A game-theoretic approach to valuating toxoplasmosis vaccination strategies

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  • Sykes, David
  • Rychtář, Jan

Abstract

The protozoan Toxoplasma gondii is a parasite often found in wild and domestic cats, and it is the cause of the disease toxoplasmosis. More than 60 million people in the United States carry the parasite, and the Centers for Disease Control have placed toxoplasmosis in their disease classification group Neglected Parasitic Infections as one of five parasitic diseases targeted as priorities for public health action. In recent years, there has been significant progress toward the development of a practical vaccine, so vaccination programs may soon be a viable approach to controlling the disease. Anticipating the availability of a toxoplasmosis vaccine, we are interested in determining when cat owners should vaccinate their own pets. We have created a mathematical model describing the conditions under which vaccination is advantageous. Our model can be used to predict the average vaccination level in the population. We find that there is a critical vaccine cost threshold above which no one will use the vaccine. A vaccine cost slightly below this threshold, however, results in high usage of the vaccine, and consequently in a significant reduction in population seroprevalence. Not surprisingly, we find that populations may achieve herd immunity only if the cost of vaccine is zero.

Suggested Citation

  • Sykes, David & Rychtář, Jan, 2015. "A game-theoretic approach to valuating toxoplasmosis vaccination strategies," Theoretical Population Biology, Elsevier, vol. 105(C), pages 33-38.
  • Handle: RePEc:eee:thpobi:v:105:y:2015:i:c:p:33-38
    DOI: 10.1016/j.tpb.2015.08.003
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    References listed on IDEAS

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    1. Boni, Maciej F. & Galvani, Alison P. & Wickelgren, Abraham L. & Malani, Anup, 2013. "Economic epidemiology of avian influenza on smallholder poultry farms," Theoretical Population Biology, Elsevier, vol. 90(C), pages 135-144.
    2. Geoffard, Pierre-Yves & Philipson, Tomas, 1997. "Disease Eradication: Private versus Public Vaccination," American Economic Review, American Economic Association, vol. 87(1), pages 222-230, March.
    3. Arenas, Abraham J. & González-Parra, Gilberto & Villanueva Micó, Rafael-J., 2010. "Modeling toxoplasmosis spread in cat populations under vaccination," Theoretical Population Biology, Elsevier, vol. 77(4), pages 227-237.
    4. Turner, Matthew & Lenhart, Suzanne & Rosenthal, Benjamin & Zhao, Xiaopeng, 2013. "Modeling effective transmission pathways and control of the world’s most successful parasite," Theoretical Population Biology, Elsevier, vol. 86(C), pages 50-61.
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    Cited by:

    1. Hassan, Annalise & Tapp, Zoe A. & Tran, Dan K. & Rychtář, Jan & Taylor, Dewey, 2024. "Mathematical model of rabies vaccination in the United States," Theoretical Population Biology, Elsevier, vol. 157(C), pages 47-54.
    2. Kristen Scheckelhoff & Ayesha Ejaz & Igor V. Erovenko & Jan Rychtář & Dewey Taylor, 2021. "Optimal Voluntary Vaccination of Adults and Adolescents Can Help Eradicate Hepatitis B in China," Games, MDPI, vol. 12(4), pages 1-13, October.
    3. Pedro H. T. Schimit & Abimael R. Sergio & Marco A. R. Fontoura, 2025. "Vaccination as a Game: Behavioural Dynamics, Network Effects, and Policy Levers—A Comprehensive Review," Mathematics, MDPI, vol. 13(14), pages 1-30, July.
    4. Habib Zare & Madjid Tavana & Abbas Mardani & Sepideh Masoudian & Mahyar Kamali Saraji, 2019. "A hybrid data envelopment analysis and game theory model for performance measurement in healthcare," Health Care Management Science, Springer, vol. 22(3), pages 475-488, September.
    5. Alfredo Martinez & Jonathan Machado & Eric Sanchez & Igor V. Erovenko, 2025. "Optimal Vaccination Strategies to Reduce Endemic Levels of Meningitis in Africa," Games, MDPI, vol. 16(5), pages 1-17, September.
    6. Sharmin Sultana & Gilberto González-Parra & Abraham J. Arenas, 2023. "Mathematical Modeling of Toxoplasmosis in Cats with Two Time Delays under Environmental Effects," Mathematics, MDPI, vol. 11(16), pages 1-20, August.
    7. Kristen Scheckelhoff & Ayesha Ejaz & Igor V. Erovenko, 2025. "A Game-Theoretic Model of Optimal Clean Equipment Usage to Prevent Hepatitis C Among Injecting Drug Users," Mathematics, MDPI, vol. 13(14), pages 1-18, July.

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