Abstract
We formulate an autonomous dynamical system to model an epidemic outbreak of Dengue fever in which the population of mosquitoes is not directly present. In their place, we consider delayed differential equations. Our model is mainly based on vertical transmission. We found equilibrium points, studied its stability and gave some possible interpretations of the results. Numerical work is present too because we try to fit the parameters with data from a real epidemic.
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Pérez, A.S., de Arazoza Rodríguez, H., Sánchez, T.N., Barrios, J., Severo, A.M. (2009). A Theoretical Model for the Dengue Epidemic Using Delayed Differential Equations: Numerical Approaches. In: Cabestany, J., Sandoval, F., Prieto, A., Corchado, J.M. (eds) Bio-Inspired Systems: Computational and Ambient Intelligence. IWANN 2009. Lecture Notes in Computer Science, vol 5517. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02478-8_112
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DOI: https://doi.org/10.1007/978-3-642-02478-8_112
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02477-1
Online ISBN: 978-3-642-02478-8
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