Download Modeling dynamics of Babesiosis disease in bovines and

Modeling dynamics of Babesiosis disease in
bovines and ticks populations
Diego F. Aranda a,∗ Deccy Y. Trejos c J. Gómez-Oquendo b
R.-J. Villanueva a
a Instituto
de Matemática Multidisciplinar, Universidad Politécnica de Valencia,
Edificio 8G, piso 2, P.O. Box 22012, Valencia, Spain
b Facultad
de Ciencias Agrarias, Politécnico Colombiano Jaime Isaza Cadavid,
Medellı́n-Colombia
c Facultad
de Ciencias Básicas, Universidad Distrital Francisco José de Caldas,
Bogotá D.C.-Colombia
Abstract
The prevalence of Babesiosis has increased in northern Antioquia (Colombia). Despite congenital Babesiosis is not a disease of epidemic proportions, an important
amount of bovines die or have serious effects on the milk and meat production. Discussion of the basic concepts of the Babesiosis transmission dynamics on bovines
and ticks populations are presented. The ticks in this model play a role of infectious agents and vector of the protozoan Babesia hemo-parasite. In this paper we
present an initial model with constant size population for the evolution of the infected bovines with Babesiosis. We explore the dynamics of the Babesiosis 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
varying the parameters show different scenarios about the spread of the disease
Key words: Babesiosis disease, Bovines and ticks population, Epidemic model,
Numerical solution, Simulation, Ecology.
∗ Corresponding author: aranda lozano [email protected]
Email addresses: [email protected] (Deccy Y. Trejos),
[email protected] (J. Gómez-Oquendo), [email protected] (R.-J.
Villanueva).
Preprint submitted to Elsevier
18 May 2009