Rafael
Bravo de la Parra
Catedrático/a de Universidad
Publicaciones en las que colabora con Rafael Bravo de la Parra (17)
2019
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Non-linear population discrete models with two time scales: re-scaling of part of the slow process
Advances in Difference Equations, Vol. 2019, Núm. 1
2018
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Modelling the role of opportunistic diseases in coinfection
Mathematical Modelling of Natural Phenomena, Vol. 13, Núm. 3
2017
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A Discrete Predator-Prey Ecoepidemic Model
Mathematical Modelling of Natural Phenomena, Vol. 12, Núm. 2, pp. 116-132
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Discrete Models of Disease and Competition
Discrete Dynamics in Nature and Society, Vol. 2017
2016
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Fast Dispersal in Semelparous Populations
Mathematical Modelling of Natural Phenomena, Vol. 11, Núm. 4, pp. 120-134
2015
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A simple geometrical condition for the existence of periodic solutions of planar periodic systems. Applications to some biological models
Journal of Mathematical Analysis and Applications, Vol. 423, Núm. 2, pp. 1469-1479
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A time scales approach to coinfection by opportunistic diseases
Journal of Applied Mathematics, Vol. 2015
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Coexistence and superior competitor exclusion in the Leslie-Gower competition model with fast dispersal
Ecological Modelling, Vol. 306, pp. 247-256
2014
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Reduction of Nonautonomous Population Dynamics Models with Two Time Scales
Acta Biotheoretica, Vol. 62, Núm. 3, pp. 285-303
2013
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A density-dependent model describing age-structured population dynamics using hawk-dove tactics
Journal of Difference Equations and Applications, Vol. 19, Núm. 6, pp. 1022-1034
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Reduction of discrete dynamical systems with applications to dynamics population models
Mathematical Modelling of Natural Phenomena, Vol. 8, Núm. 6, pp. 107-129
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Reduction of slow-fast asymptotically autonomous systems with applications to gradostat models
Ecological Complexity, Vol. 14, pp. 75-84
2012
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Approximate aggregation of a two time scales periodic multi-strain SIS epidemic model: A patchy environment with fast migrations
Ecological Complexity, Vol. 10, pp. 34-41
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Reduction of slowfast periodic systems with applications to population dynamics models
Mathematical Models and Methods in Applied Sciences, Vol. 22, Núm. 10
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Reproductive Numbers for Nonautonomous Spatially Distributed Periodic SIS Models Acting on Two Time Scales
Acta Biotheoretica, Vol. 60, Núm. 1-2, pp. 139-154
2009
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Aplicaciones a la ecología de la agregación aproximada de variables en sistemas dinámicos discretos
Segundas Jornadas de Jóvenes Investigadores de la Universidad de Alcalá
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Reduction of slow-fast discrete models coupling migration and demography
Journal of Theoretical Biology, Vol. 258, Núm. 3, pp. 371-379