![](http://dmaii.etsii.upm.es/web/wp-content/uploads/2020/04/Sanz_Luis-300x300.jpg)
Actualmente imparto docencia en las siguientes asignaturas:
- Matemáticas de la Especialidad Ingeniería Mecánica, correspondiente al tercer curso del Grado en Ingeniería en Tecnologías Industriales (GITI), Especialidad Ingeniería Mecánica.
- Ecuaciones en Derivadas Parciales y Análisis de Fourier, correspondiente al tercer curso del Grado en Ingeniería en Tecnologías Industriales (GITI), Especialidad de Matemática Industrial.
- Population dynamics
- Dynamical Systems
- Mathematical Ecology and Epidemiology
- Battery Modeling
- Computational Fluid Dynamics
- Bravo de la Parra, R., & Sanz-Lorenzo, L. (2021). Discrete epidemic models with two time scales. Advances in Difference Equations, 2021(1), 1-24.
- L. Sanz, R. Bravo de la Parra, Stochastic matrix metapopulation models with fast migration: Re-scaling survival to the fast scale,Ecological Modelling, 418, 2020, 108829. doi.org/10.1016/j.ecolmodel.2019.108829.
- R. Bravo de La Parra, L. Sanz, A discrete model of competing species sharing a parasite. Discrete & Continuous Dynamical Systems-B, 25(6):2121-2142, 2020. doi:10.3934/dcdsb.2019204.
- L. Sanz, Conditions for growth and extinction in matrix models with environmental stochasticity. Ecological Modelling, 411, 108797, 2019.
Sanz, L., de la Parra, R. B., Marvá, M., & Sánchez, E. (2019). Non-linear population discrete models with two time scales: re-scaling of part of the slow process. Advances in Difference Equations, 2019(1), 401., 2019. doi.org/10.1186/s13662-019-2303-1.
Sanz, J.A. Alonso, Approximate reduction of linear population models governed by stochastic differential equations: application to multiregional models, Journal of Biological Dynamics, 11, 461-479, 2017.
- Bravo de la Parra, M. Marvá, E. Sánchez, L. Sanz, Discrete Models of Disease and Competition. Discrete Dynamics in Nature and Society, 2017, 5310837, 2017. doi.org/10.1155/2017/5310837
- Bravo de la Parra, M. Marvá, E. Sánchez, L. Sanz, A Discrete Predator-Prey Ecoepidemic Model. Mathematical Modelling of Natural Phenomena 12, 116–132, 2017
- Bravo de la Parra, M. Marvá, E. Sánchez, L. Sanz, Reduction of Discrete Dynamical Systems with Applications to Dynamics Population Models, Mathematical Models of Natural Phenomena, 8(6): 107–129, 2013.
- J. Arino, W. Hu, K. Khan, D. Kossowsky, L. Sanz, Some methodological aspects involved in the study by the Bio. Diaspora Project of the spread of infectious diseases along the global air transportation network, Can. Appl. Math. Q, 19, 125-137, 2012.
- L. Sanz, J. A. Alonso, Approximate Aggregation Methods in Discrete Time Stochastic Population Models, Math. Model. Nat. Phenom. Vol. 5, No. 6, pp. 38-69, 2010
- J.A. Alonso L. Sanz, Aproximating the Distribution of Population Size in Stochastic Multiregional Matrix Models with Fast Migration, Phil. Trans. R. Soc. A, 367, 4801: 4827, 2009
- M.A. Rincón, J.A. Alonso, Luis Sanz, Supercritical multiregional stochastic models with fast migration, Acta Biotheoretica, 57, 479: 500, 2009.
- Marvá, E. Sánchez, R. Bravo de la Parra, L. Sanz, Reduction of slow–fast discrete models coupling migration and demography, Journal of Theoretical Biology, 258(3):371-379, 2009.
- P. Auger, R. Bravo de la Parra, J.C. Poggiale, E. Sánchez, L. Sanz, Aggregation methods in dynamical systems variables and applications in population and community dynamics, Physics of Life Reviews, 5(2):79-105, 2008.
- Sanz, R. Bravo de la Parra, E. Sánchez, Approximate Reduction of Non-Linear Discrete Models with Two Time Scales, Journal of Difference Equations and Applications, 14(6):607-627, 2008.
- L. Sanz, R. Bravo de la Parra, Approximate reduction of multiregional models with environmental stochasticity, Mathematical Biosciences, 206(1):134-154, 2007.
- Sanz, A. Blasco, R. Bravo de la Parra, Approximate reduction of multiregional multi-type branching models with fast migration, Mathematical Models and Methods in Applied Sciences, 13(4):491-525, 2003.
- Blasco, L. Sanz, R. Bravo de la Parra, Approximate reduction of multiregional birth-death models with fast migration. Mathematical and computer modelling 36, 47–65, 2002.
- L. Sanz, R. Bravo de la Parra, The Reliability of Approximate Reduction Techniques in Population Models with Two Time Scales, Acta Biotheoretica, 50(4):297-322, 2002.
- A. Blasco, L. Sanz, P. Auger, R. Bravo de la Parra, Linear Discrete Population Models with Two Time Scales in Fast Changing Environments II: Non Autonomous Case, Acta Biotheoretica, 50(1):15-38, 2002.
- A. Blasco, L. Sanz, P. Auger, R. Bravo de la Parra, Linear Discrete Population Models with Two Time Scales in Fast Changing Environments I: Autonomous Case, Acta Biotheoretica, 49:261-276, 2001.
- L. Sanz, R. Bravo de la Parra, Time scales in a non autonomous linear discrete model, Mathematical Models and Methods in Applied Sciences, 11(7):1203-1235, 2001.
- L. Sanz, R. Bravo de la Parra, Time scales in stochastic multiregional models, Nonlinear Analysis: Real World Applications, 1:89-122, 2000.
- Sanz, R. Bravo de la Parra, Variables Aggregation in a Time Discrete Linear Model, Mathematical Biosciences, 157(1-2):91-109, 1999.
- Sanz, R. Bravo de la Parra, Variables Aggregation in Time Varying Discrete Systems, Acta Biotheoretica, 46:273-297, 1998.