A mathematical model for Babesiosis disease in bovine and tick populations |
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| Authors: | Diego F. Aranda Deccy Y. Trejos Jose C. Valverde Rafael J. Villanueva |
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| Affiliation: | 1. Institute for Multidisciplinary Maths., Polytechnic University of Valencia, , Spain;2. Faculty of Sciences, University Francisco Jose de Caldas, , Colombia;3. Department of Mathematics, University of Castilla‐La Mancha, , Spain |
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| Abstract: | In this paper, we analyze the Babesiosis transmission dynamics on bovine and tick populations. Ticks play a role of infectious 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. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | nonlinear dynamical systems Lyapunov functions and stability epidemiology simulation of models |
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