A mathematical model for Babesiosis disease in bovine and tick populations

In this paper, we analyze the Babesiosis transmission dynamics on bovine and tick populations. Ticks play a role of infec- tious agents and vector of the protozoan Babesia hemo-parasite. In this sense, we set out a mathematical model with constant size population for the evolution of the infected bo...

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Detalles Bibliográficos
Autores: Aranda, Diego F., Trejos, Deccy Y., Valverde, Jose C., Villanueva Micó, Rafael Jacinto|||0000-0002-0131-0532
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/60964
Acceso en línea:https://riunet.upv.es/handle/10251/60964
Access Level:acceso abierto
Palabra clave:Nonlinear dynamical systems
Lyapunov functions and stability
Epidemiology
Simulation of models
MATEMATICA APLICADA
Descripción
Sumario:In this paper, we analyze the Babesiosis transmission dynamics on bovine and tick populations. Ticks play a role of infec- tious agents and vector of the protozoan Babesia hemo-parasite. In this sense, we set out a mathematical model with constant size population for the evolution of the infected bovines with Babesiosis and analyze its qualitative dynamics. 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