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Modeling toxoplasmosis spread in cat populations under vaccination

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  • Arenas, Abraham J.
  • González-Parra, Gilberto
  • Villanueva Micó, Rafael-J.

Abstract

In this paper we present an epidemiological model to study the transmission dynamics of toxoplasmosis in a cat population under a continuous vaccination schedule. We explore the dynamics of toxoplasmosis at the population level using a mathematical model that includes the effect of oocyst, since the probability of acquisition of Toxoplasma Gondii infection depends on the environmental load of the parasite. This model considers indirectly the infection of prey through the oocyst shedding by cats. We prove that the basic reproduction number R0 is a threshold value that completely determines the global dynamics and the outcome of the disease. Numerical computer simulations are presented to investigate different scenarios. These simulations show the effectiveness of a constant vaccination program.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:thpobi:v:77:y:2010:i:4:p:227-237
    DOI: 10.1016/j.tpb.2010.03.005
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    Cited by:

    1. 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.
    2. Sykes, David & Rychtář, Jan, 2015. "A game-theoretic approach to valuating toxoplasmosis vaccination strategies," Theoretical Population Biology, Elsevier, vol. 105(C), pages 33-38.
    3. L., Diego F. Aranda & González-Parra, Gilberto & Benincasa, Tommaso, 2019. "Mathematical modeling and numerical simulations of Zika in Colombia considering mutation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 163(C), pages 1-18.
    4. Lélu, M. & Langlais, M. & Poulle, M.-L. & Gilot-Fromont, E., 2010. "Transmission dynamics of Toxoplasma gondii along an urban–rural gradient," Theoretical Population Biology, Elsevier, vol. 78(2), pages 139-147.
    5. Zafar, Zain Ul Abadin & Ali, Nigar & Baleanu, Dumitru, 2021. "Dynamics and numerical investigations of a fractional-order model of toxoplasmosis in the population of human and cats," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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