A discrete epidemic model for bovine babesiosis disease and tick populations
In this paper, we provide and study a discrete model for the transmission of Babesiosis disease in bovine and tick populations. This model supposes a discretization of the continuous-time model developed by us previously. The results, here obtained by discrete methods as opposed to continuous ones,...
- Autores:
-
Aranda Lozano, Diego Fernando
Trejos Angel, Deccy Yaneth
Valverde, Jose C.
- Tipo de recurso:
- Fecha de publicación:
- 2017
- Institución:
- Universidad El Bosque
- Repositorio:
- Repositorio U. El Bosque
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.unbosque.edu.co:20.500.12495/2378
- Palabra clave:
- Babesiosis
Enfermedades de los bovinos
Enfermedades por picaduras de garrapatas
Discrete-time epidemic models
Local and global stability
Jury criterion
- Rights
- License
- Attribution-NonCommercial-NoDerivatives 4.0 International
| Summary: | In this paper, we provide and study a discrete model for the transmission of Babesiosis disease in bovine and tick populations. This model supposes a discretization of the continuous-time model developed by us previously. The results, here obtained by discrete methods as opposed to continuous ones, show that similar conclusions can be obtained for the discrete model subject to the assumption of some parametric constraints which were not necessary in the continuous case. We prove that these parametric constraints are not artificial and, in fact, they can be deduced from the biological significance of the model. Finally, some numerical simulations are given to validate the model and verify our theoretical study. |
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