Dynamics of a model of Toxoplasmosis disease in human and cat populations

  • Authors:

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

  • Affiliations:

  • Dpto. de Cálculo, Facultad de Ingeniería, Universidad de los Andes, Mérida, Venezuela;Departamento de Matemáticas y Estadística, Universidad de Córdoba, Montería, Colombia;Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Edificio 8G, piso 2, P.O. Box 22012, Valencia, Spain;Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Edificio 8G, piso 2, P.O. Box 22012, Valencia, Spain;Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Edificio 8G, piso 2, P.O. Box 22012, Valencia, Spain

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2009

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Abstract

A mathematical model for the transmission of Toxoplasmosis disease in human and cat populations is proposed and analyzed. We explore the dynamics of the Toxoplasmosis disease at the population level using an epidemiological type model. Discussion of the basic concepts of the Toxoplasmosis transmission dynamics on human and cat populations are presented. The cats in this model plays a role of infectious agents and host of the protozoan Toxoplasma Gondii parasite. Qualitative dynamics of the model is determined by the basic reproduction number, R"0. If the threshold parameter R"01 the convergence is to the endemic equilibrium point. Numerical simulations of the model illustrates several different dynamics depending on the threshold parameter R"0 and show the importance of this parameter.