Book chapters

  • H.H. Castillo-Alvino, M. Marvá, E. Venturino. (2022). Modeling Competition in Motionless Populations. In: Mondaini, R.P. (eds) Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models. BIOMAT 2021. Springer, Cham. pdf

  • F. San Segundo, M. Marvá (2016). POSTDATA 1.0. Un curso de introducción a la Estadística, pensado para principiantes pdf

  • J.G. Alcázar, M. Marvá, D. Orden, F. San Segundo (2012). Software tools used in math refresher courses at the university of Alcalá, Spain on Teaching mathematics online: emergent technologies and methodologies. IGI series in advances in distance education technologies. pdf.

  • M. Marvá, R. Bravo de la Parra, E. Sánchez, L. Sanz. Aplicaciones a la ecología de la agregación aproximada de variables en sistemas dinámicos discretos. UAH Obras colectivas. Ciencias 04. 2009. pdf.

Research papers

2024
  • C.M. Vera, M. Marvá, V.J. García-Garrido, R. Escalante. The Beddington–DeAngelis Competitive Response: Intra-Species Interference Enhances Coexistence in Species Competition Mathematics (2023) 12(4) pdf
2023
  • M. Marvá, E. Venturino, C.M. Vera. A minimal model coupling communicable and non-communicable diseases Math. Model. Nat. Phenom. 18 (2023). 23 pdf

  • M.J. Orea, J.C. Angulo, A. González-Corpas, D. Echegaray, M. Marvá, M.V.T. Lobo, B. Colás, S. Ropero. Claudin-3 Loss of Expression Is a Prognostic Marker in Castration-Resistant Prostate Cancer. Int. J. Mol. Sci. 2023, 24, 803. pdf

2022
  • H. Castillo-Alvino, M. Marvá. Group defense promotes coexistence in interference competition: The Holling type IV competitive response. Mathematics and Computers in Simulation. 198 (2022), pp. 426-445. pdf
2021
  • G. Sáez-Cano, M. Marvá, P. Ruiz-Benito, M.A. Zavala. Modelling Tree Growth in Monospecific Forests from Forest Inventory Data. Forest. 12(6) (2021), pp. 222-244. pdf
2020
  • H. Castillo-Alvino, M. Marvá. The competition model with Holling type II competitive response to interfering time. Journal of Biological Dynamics. 14(1) (2020), pp. 222-244. pdf
2019
  • L. Sanz, R. Bravo de la Parra, M. Marvá, E. Sánchez. Non-linear population discrete models with two time scales: re-scaling of part of the slow process. Advances in difference equations. Article number 401 (2019), pdf
2018
  • M. Marvá, F. San Segundo. Age-structure density-dependent fertility and individuals dispersal in a population model. Mathematical Biosciences 300, 2018, 157-167. pdf

  • M. Marvá, E. Venturino, R. Bravo de la Parra. Modelling the role of opportunistic diseases in coinfection. Mathematical modelling of natural phenomena, 13(3), 2018, DOI: https://doi.org/10.1051/mmnp/2018034. pdf

2017
  • R. Bravo de la Parra, M. Marvá, E. Sánchez, L. Sanz. Discrete Models of Disease and Competition. Discrete Dynamics in Nature and Society Volume 2017 (2017), Article ID 5310837 pdf

  • R. Bravo de la Parra, M. Marvá, E. Sánchez, L. Sanz. A Discrete Predator-Prey Ecoepidemic Model. Mathematical modelling of natural phenomena, Volume 12(2), 2017, pp. 116-132 pdf

2016
  • R. Bravo de la Parra, M. Marvá, F. San Segundo. Fast dispersal in semelparous populations. Mathematical modelling of natural phenomena, Volume 11(4), 2016, pp. 120-134 pdf
2015
  • M. Marvá, E. Venturino, R. Bravo de la Parra. A time scales approach to coinfection by opportunistic diseases. Journal of applied mathematics. Volume 201, 2015, Article ID 275485 pdf

  • M. Marvá, J.G. Alcázar, J.C. Poggiale and R. Bravo de la Parra. Sufficient conditions for the existence of periodic solutions of planar periodic systems. Journal of Mathematical analysis and applications. Journal of mathematical analysis and applications, 423, 2015, pp 1469–1479 pdf

  • M. Marvá, R. Bravo de la Parra. Coexistence and superior competitor exclusion in the Leslie-Gower competition model with fast dispersal. Ecological Modelling. Volume 306(24) 2015, pp 247–256 pdf

2014
  • M. Marvá. Supersolutions to degenerated logistic equation type. Far East Journal of Mathematical Sciences. Volume 94(2). 2014. 161–167 pdf.
  • M. Marvá, R. Bravo de la Parra. Reduction of nonautonomous population dynamics models with two time scales. Acta biotheoretica. Volume 62(3).2014, pp 285–303. pdf.
2013
  • R. Bravo de la Parra, M. Marvá, E. Sánchez, L. Sanz. Reduction of discrete dynamical systems with applications to dynamics population models. Mathematical modelling of natural phenomena. Vol 8(6). 2013. 107–129. pdf.
  • M. Marvá, R. Bravo de la Parra and J.-C. Poggiale. Reduction of slow-fast asymptotically autonomous systems with applications to gradostat models. Ecological complexity 14(1): 75-84. 2013. pdf.
  • M. Marvá, A. Moussaouí, R. Bravo de la Parra, P. Auger. A density dependent model describing age-structured population dynamics using hawk-dove tactics. Journal of difference equations and applications. 19(6):1022-1034, 2013. pdf.
2012
  • M. Marvá, R. Bravo de la Parra, and J.C. Poggiale. Reduction of slow-fast periodic systems: fast migrations in a predator-prey community. Mathematical Models and Methods in Applied Sciences. Vol 12:10. 2012. pdf.
  • M. Marvá, J.C. Poggiale, R. Bravo de la Parra. Approximate aggregation of a two time scales periodic multi-strain sis epidemic model: a patchy environment with fast migrations. Ecological Complexity. 10(1):34-41. 2012. pdf.
  • M. Marvá, R. Bravo de la Parra, P. Auger. Reproductive numbers for non autonomous periodic two time scales spatially distributed SIS. Acta Biotheoretica. 60(1-2):139-154, 2011. pdf.
2009
  • M. Marvá, E. Sánchez, R. Bravo de la Parra, L. Sanz. Reduction of slow–fast discrete models coupling migration and demography. Journal of theoretical biology. Volume 258. 2009. 371-379. pdf.
2008
  • T. Nguyen Huu, P. Auger, C. Lett, M. Marvá. Emergence of global behaviour in a host-parasitoid model with density-dependent dispersal in a chain of patches. Ecological complexity. Volume 5, Issue 2. 2008. 9-21. pdf.

Coauthors

I have been lucky of working with and learning from many people. Among them, the following ones (in alphabetical order) have become coauthors: Juan Gerardo Alcázar, Pierre Auger, Rafael Bravo de la Parra, Hamlet Castillo-Alvino, Christophe Lett, Alí Moussaouí, Tri Nguyen Huu, Jean-Christophe Poggiale, Fernando San Segundo, Paloma Ruiz-Benito, Guadalupe Sáez-Cano, Eva Sánchez, Luis Sanz, Ezio Venturino, M.A. Zavala.