Mathematical modeling of Toxoplasmosis disease in varying size populations

  • Authors:

  • Diego F. Aranda;Rafael J. Villanueva;Abraham J. Arenas;Gilberto C. González-Parra

  • Affiliations:

  • Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Edificio 8G, piso 2, P.O. Box 46022, Valencia, Spain;Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Edificio 8G, piso 2, P.O. Box 46022, Valencia, Spain;Departamento de Matemáticas y Estadística, Universidad de Córdoba, Montería, Colombia;Dpto. de Cálculo, Facultad de Ingeniería, Universidad de los Andes, Mérida, Venezuela

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2008

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Abstract

The prevalence of Toxoplasmosis has increased dramatically around the world. Despite congenital Toxoplasmosis being not a disease of epidemic proportions, a large number of humans die or have serious effects on the developing fetus. In this paper we present an initial model with varying size population for the evolution of the infected people with Toxoplasmosis. We explore the dynamics of the Toxoplasmosis disease at the population level using an epidemiological model. Statistical data are used to estimate some of the parameters of the model. Numerical simulations of the model done by varying parameters show different scenarios about the spread of the disease.