We are one of the leading groups at a World level in the theoretical and numerical analysis of Reaction-Diffusion Equations and Systems, as well as in their applications to Biology, Ecology and Medicine. At present we are extremelly interested in analyzing the effects of spatial and temporal heterogeneities on the dynamics of a number of paradigmatic models in these empirical disciplines. The members of the research team are radicated in three different universities of Madrid, J. Lopez-Gomez and his Ph D Stduents in Complutense University of Madrid, M. Molina-Meyer and her Ph D Students at Carlos III University, Leganés, and S. Cano-Casanova and his Ph D Students at University Pontificia Comillas Madrid. The group maintains fluid contact with some of the very best experts in Nonlinear Analysis, Nonlinear Partial Differential Equations, Reaction-Diffusion Equations and Spatial Ecology, like P. H. Rabinowitz, J. L. M. Mawhin, C. Cosner, R. S. Cantrell, E. N. Dancer, Y. Du, W. M. Ni, Y. Lou, T. Nagai, S. Levin, D. Tilman, H. Berestycki among many others. Some of the students formed in the group enjoied postdoctoral grants in the teams of J. M. Ball (Oxford), H. Brestycki (Paris) and the Normal Superior School of Pisa. The last two books of the group are the following ones:
[B1] J. Lopez-Gomez, Linear Second Order Elliptic Operators, World Scientific Publishing, Singapore 2013. ISBN: 978-981-4440-24-0.
[B2] J. Lopez-Gomez, Metasolutions of Parabolic Equations in Population Dynamics, CRC Press, Boca Raton, Florida, 2015. ISBN: 978-148-2238-98-3.
Among the very last papers published by the membres of the group count the following:
[P1] J. Lopez-Gomez, T. Nagai and T. Yamada, The basin of attraction of the steady-states for a chemotaxis model in R2  with critical mass, J. Funct. Anal. 266 (2014), 3455-3507.
[P11] J. Lopez-Gomez, M. Molina-Meyer and A. Tellini, Complex dynamics caused by facilitation in competitive environments within polluted habitat patches, Eu