A mathematical model of dissemination of Toxoplasma gondii (Nicolle y Manceaux, 1909), by cats
DOI:
https://doi.org/10.17533/udea.acbi.329418Keywords:
effective contact, partial differential equations, spread, transmission, Toxoplasma gondiiAbstract
In this paper, the spread by Felis catus of Toxoplasma gondii parasite is modeled. The dynamics is described with a system of partial differential equations defined on a rectangular region, including initials and boundary conditions, that combines a model of type SIR with an equation of diffusion for the parasite. The model considers indirect transmission from the T. gondii to host while consuming preys (birds, rats, mice), and meat infected by this protozoon, by means of a uniform distribution; it does not regard the infectious (tissue cyst, oocyst or taquizoid) of the parasite; the demographics rates for the host population are considered constants and it is supposed that there is no mobility of cats. A numerical approximation of the system was obtained by computer simulations by varying some parameters equivalent to different control measures.
Downloads
References
Anderson RM, May RM. 1991. Infectious diseases ofhumans dynamics and control. Oxford UniversityPress, Nueva York, E. U.
A.Araujo FG. 1994. Immunization against Toxoplasma gondii.Parasitology Today, 10:358-360.
Burden RJ, Faires JD. 1985. An·lisis numÈrico. GrupoEditorial Iberamericana. MÈxico, D. F., MÈxico.
Dubey JP, Frenkel JK. 1972. Cyst-induced Toxoplasmosisin cats. Journal Protozoology, 19:155-177.
Edelstein-Keshet L. 1988. Mathematical models inbio logy. McGraw-Hill. E. U. A.
Frenkel JK, Dubey JP. 1972. Toxoplasmosis and itsprevention in cats and man. The Journal of InfectiousDiseases, 126:664-673.
Mandell GL, Bennett JE, Dolin R. 2000. Principios y pr·c-ticas en enfermedades infecciosas. Editorial MÈdicaPanamericana. Buenos Aires, Argentina.
Meyer JF, Pregnolatto SA. 2003. Mathematical model andnumerical simulation of the population dynamics ofCapybaras: an epizootic model with dispersal,migration and periodically varying contagion.Biomatem·tica, 13:145-152.
Murray JD. 1993. Mathematical biology. Springer-Verlag. BerlÌn, Alemania.
Rubio C. 1997. Din·mica de transmisiÛn y propagaciÛn dela toxoplasmosis. Tesis de EspecializaciÛn enBiomatem·ticas. Universidad del QuindÌo. Armenia(Quindio), Colombia.Trejos y DuarteActual Biol 27(83):143-149, 2005
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2017 Actualidades Biológicas
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
The authors exclusively authorize the Actualidades Biológicas journal to edit and publish the submitted manuscript if its publication is recommended and accepted, without this representing any cost to the Journal or the University of Antioquia.
All the ideas and opinions contained in the articles are sole responsibility of the authors. The total content of the issues or supplements of the journal is protected under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, so they cannot be used for commercial purposes, but for educational purposes. However, please mention the Actualidades Biológicas journal as a source and send a copy of the publication in which the content was reproduced.
