Research activities


Research Interests:

We are interested in the modelling of structured population dynamics from the mathematical point of view: on the one hand, existence and uniqueness of solutions, steady states analysis and (in)stability analysis,  bifurcation of parameters and the existence of periodic solutions, and numerical simulations. On the other hand,  the biological evolution of some (finite or infinite dimensional) traits of the populations through the adaptive dynamics and the computation of the evolutionarily stable strategies (ESS).

Mainly, we deal with infinite dimensional systems, e.g. partial differential equations and integral equations, in models of ecology and epidemiology (the spread of infectious diseases in space and time). My former research area was celestial mechanics and astronomy.

We are also interested in the approach of complex networks to deal with the spatial heterogeneity in a suitable way or to encompass the social/contact structure within a population. Epidemic spread in heterogeneous metapopulations and telecommunication networks.

MathMods IP 2009 - Mathematical Models in Life and Social Sciences - Lifelong Learning Programme. Course on Structured Population Dynamics in ecology and epidemiology, for Master students and PhD students. Course description. Course Slides.


Journal articles:

Jordi Ripoll, Albert Avinyó, Marta Pellicer and Joan Saldaña: Impact of density-dependent migration flows on epidemic outbreaks in heterogeneous metapopulations. Phys. Rev. E 92 (2015), 022809.

Jordi Ripoll, Marc Manzano and Eusebi Calle. Spread of epidemic-like failures in telecommunication networks. Physica A: Statistical Mechanics and its Applications, 410, pp. 457--469, 2014. Pdf

David Juher, Jordi Ripoll, and Joan Saldaña. Outbreak analysis of an SIS epidemic model with rewiring. J. Math. Biol., 67(2):411--432, 2013. Pdf

Mimmo Iannelli and Jordi Ripoll. Two-sex age structured dynamics in a fixed sex-ratio population. Nonlinear Analysis: Real World Applications, 13 (2012) 2562--2577. Pdf

Àngel Calsina, Josep M. Palmada, and Jordi Ripoll. Optimal latent period in a bacteriophage population model structured by infection-age.  Math. Mod. Meth. Appl. Sci., 21(4):693--718, 2011. Pdf

E. Calle, J. Ripoll, J. Segovia, P. Vilà, M. Manzano, A Multiple Failure Propagation Model in GMPLS-based Networks. IEEE Network, 24(6):17--22, 2010. Pdf

David Juher, Jordi Ripoll, and Joan Saldaña. Analysis and Monte Carlo simulations of a model for the spread of infectious diseases in heterogeneous metapopulations. Phys. Rev. E 80, 041920 (2009). Pdf

Àngel Calsina and Jordi Ripoll. Evolution of age-dependent sex-reversal under adaptive dynamics. J. Math. Biol., 60(2):161--188, 2009. Pdf

Mimmo Iannelli and Jordi Ripoll. Asynchronous growth and competition in a two-sex age-structured population model. CRM prep. 854, April 2009.

Àngel Calsina and Jordi Ripoll. A general structured model for a sequential hermaphrodite population. Math. Biosci., 208(2):393--418, 2007. Pdf

M.L. Ciofi degli Atti, C. Rizzo, A. Bella, M. Massari, M. Iannelli, A. Lunelli, A. Pugliese, J. Ripoll, P. Manfredi, G. Scalia Tomba, S. Merler, G. Jurman, and C. Furlanello. Modelling scenarios of diffusion and control of pandemic influenza, italy. Euro Surveill., 12(1), 2007.

Jordi Ripoll, Joan Saldaña, and Juan Carlos Senar. Evolutionarily stable transition rates in a stage-structured model. An application to the analysis of size distributions of badges of social status. Math. Biosci., 190(2):145--181, 2004. Pdf

Àngel Calsina and Jordi Ripoll. Hopf bifurcation in a structured population model for the sexual phase of monogonont rotifers. J. Math. Biol., 45(1):22--36, 2002. Pdf

Back to top.

Preprints:


M. Manzano, E. Calle, J. Ripoll, A. Manolova, V. Torres-Padrosa, S. Pahwa, C. Scoglio "Epidemic and Cascading Survivability of Complex Networks".

Back to top.

Conference Proceedings:

  1. A. Avinyó, M. Pellicer, J. Ripoll and J. Saldaña: Epidemics and density-dependent diffusion on heterogeneous metapopulations. European Conference on Mathematical and Theoretical Biology (ECMTB14), Gothenburg, Sweden, June 15 – 19, 2014.
  2. M. Manzano, E. Calle, J. Ripoll, A.M. Fagertun, V. Torres-Padrosa: Epidemic survivability: characterizing networks under epidemic-like failure propagation scenarios. DRCN 2013, Budapest, Hungary, March 4 - 7, 2013. Nominated for best paper award.
  3. J. Ripoll: Propagación de epidemias sobre redes complejas. II Encuentro Conjunto RSME-SMM, Torremolinos, Málaga, Spain, January 17-20, 2012.
  4. J. Ripoll: Two approaches to epidemic network models. Workshop on Mathematical Innovative Methods and Models Of BIOsciences (MIMMO-BIO, dedicated to Mimmo Iannelli), 19 -- 21 December 2011, Trento (Italy).
  5. J. Ripoll: An epidemic model on computer networks. European Conference on Mathematical and Theoretical Biology (ECMTB11), Kraków, Poland, June 28 - July 2, 2011. Mini-symposium: Epidemiology, Eco-Epidemiology and Evolution.
  6. D. Juher, J. Ripoll, J. Saldaña: Epidemics and Diffusion on Complex Networks. CMPD3 Conference on Computational and Mathematical Population Dynamics, May 31 - June 4 2010, Bordeaux, France.
  7. D. Juher, J. Ripoll, J. Saldaña: Monte Carlo simulations of a SIS-diffusion model in heterogeneous metapopulations. AIP Conference Proceedings 1168 of the 7th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2009), 18-22 September 2009, Rethymno, Crete (Greece), Vol. II, pp.1569-1572. ISBN: 978-0-7354-0709-1.
  8. D. Juher, J. Ripoll, J. Saldaña:  Equilibria and simulations in a metapopulation model for the spread of infectious diseases. Proceedings of the 9th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2009), 30th June - 3rd July 2009, Gijón (Spain), Vol. II, pp.600-607. ISBN: 978-84-612-9727-6.
  9. J. Ripoll: Optimal latent period in a bacteriophage model structured by infection age, Workshop on Analysis and Numerics of Population dynamics and Epidemics models WANPE08,  CISM, Udine, Italy, December 15-17, 2008.
  10. J. Ripoll: Estudio del perfil asintótico en un modelo no lineal de poblacionesNoLineal 2008, Barcelona, Spain, June 16-19, 2008.
  11. J. Ripoll: Evolution of the age(or size)-dependent sex-reversal under adaptive dynamics, Workshop on Size-structured Population Models,  Umeå University, Umeå, Sweden, October 17-19, 2007. Invited speaker.
  12. J. Ripoll: The ultimate age-profile in an asymptotically linear population model, Conference on Computational and Mathematical Population Dynamics CMPD2, Campinas, Brazil, July 16-20, 2007.
  13. J. Ripoll: Adaptive dynamics of a function-valued trait describing the transition in a sequential hermaphrodite population, AIMS Conference, Poitiers, France, June 25-28, 2006. Contributed Session: Modelling and Math Biology.
  14. J. Ripoll: Linearized stability for non-linear evolution equations involving accretive operators: an application to population dynamics , European Conference for Mathematical and Theoretical Biology (ECMTB05), Dresden, Germany, July 18-22, 2005. [Poster]
  15. À. Calsina, J. Ripoll: Principio de estabilidad lineal para ecuaciones casi-lineales de dinámica de poblaciones estructuradas, 1r Congreso Conjunto de Matemáticas RSME-SCM-SEIO-SEMA, MAT.ES 2005, Valencia, Spain, January 31 and February 1-4, 2005.
  16. E. Barrabés, À. Calsina, D. Juher, J. Poch, F. Prados, J. Ripoll, J. Soler: Usos docents del Projecte ACME i experiències dutes a terme, 3er CI:"DUI" Congrés Internacional Docència Universitària i Innovació, Girona, Spain, June 30 and July 1-2, 2004.
  17. À. Calsina, J. Ripoll: Function valued evolutionary traits in structured population dynamics, Conference on Computational and Mathematical Population Dynamics CMPD, Trento, Italy, June 21-25, 2004.
  18. À. Calsina, J. Ripoll: Estudio de la estabilidad en un modelo no lineal de dinámica de poblaciones estructuradas, NoLineal 2004, Toledo, Spain, June 1-4, 2004.
  19. À. Calsina, J. Ripoll: Evolution of sequential hermaphroditism in a structured population model, AICME 2003 Alcalá 2nd International Conference on Mathematical Ecology, Alcalá de Henares, Spain, September 5-9, 2003.
  20. E. Barrabés, D. Juher, J. Poch, J. Ripoll, J. Soler: ACME 2.0, un sistema de evaluación continuada y ayuda a la resolución de problemas, XI Congreso de Innovación Educativa en las Enseñanzas Técnicas, Vilanova i la Geltrú, Spain, July 23-25, 2003. ISBN: 84-688-2216-7.
  21. E. Barrabés, D. Juher, J. Poch, J. Ripoll, J. Soler: A tool for the continuous assessment and improvement of the student's skills in a mathematics course, TICE 2002 Technologies de l'Information et de la Communication dans les Enseignements d'ingénieurs et dans l'industrie, Lyon, France, November 13-15, 2002.
  22. J. Ripoll, J. Saldaña: Optimal transitions in a general discrete stage-structured population model, Conference on Mathematical Modelling of Population Dynamics, Bedlewo, Poland, June 24-28, 2002.
  23. J. Ripoll: Un modelo depredador-presa estructurado por la edad con presencia de canibalismo. XVII CEDYA-VII CMA, Salamanca, Spain, September 24-29, 2001. ISBN: 84-699-6144-6.
  24. E. Barrabés, D. Juher, J. Poch, J. Ripoll: Proyecto ACME. IX Congreso de Innovación Educativa en las Enseñanzas Técnicas, Vigo, Spain, July 23-27, 2001. ISBN: 84-699-5659-0.
  25. J. Ripoll: Cálculo de toros invariantes alrededor de órbitas periódicas Halo, XVI CEDYA-VI CMA, Las Palmas de Gran Canaria, Spain, September 21-24, 1999. ISBN: 84-95286-17-3.

Contributions to books:

(Study Groups with Industry). E. Fossas, J. Solà-Morales (Eds.): GEMT BCN 2001. Grups d'estudi de Matemàtica i Tecnologia. UPC, Barcelona 2001. ISBN: 84-699-6876-9.

E. Barrabés, D. Juher, J. Poch, J. Ripoll, J. Soler: La innovació docent a la Universitat de Girona, pàg. 69-79, Servei de Publicacions de la UdG, Girona 2003. ISBN: 84-8458-183-7.

Scenarios of diffusion and control of influenza pandemic in Italy/Scenari di diffusione e controllo di una pandemia influenzale in Italia. EPICO Working Group: M. L. Ciofi degli Atti, C. Rizzo, A. Bella, M. Massari, M. Iannelli, A. Lunelli, A. Pugliese, J. Ripoll, P. Manfredi, G. Scalia Tomba, S. Merler, G. Jurman, C. Furlanello. Istituto Superiore di Sanità 2006, 41 pages. Rapporti ISTISAN 06/33 (in Italian). ISSN 1123-3117. Roma, Italy.

Biomath bibliography:

[1] N. F. Britton. Essential mathematical biology. Springer Undergraduate Mathematics Series. Springer-Verlag London Ltd., London, 2003.

[2] H. R. Thieme. Mathematics in population biology. Princeton Series in Theoretical and Computational Biology. Princeton University Press, Princeton, NJ, 2003.

[3] M. Iannelli and A. Pugliese.  An Introduction to Mathematical Population Dynamics. Along the trail of Volterra and Lotka, Springer, New York, 2014.

[4] G. F. Webb. Theory of nonlinear age-dependent population dynamics, volume 89 of Monographs and Textbooks in Pure and Applied Mathematics. Marcel Dekker Inc., New York, 1985.

[5] O. Diekmann, S. A. van Gils, S. M. Verduyn Lunel, and H.-O. Walther. Delay equations, volume 110 of Applied Mathematical Sciences. Springer-Verlag, New York, 1995.

[6] R. Rudnicki, editor. Mathematical modelling of population dynamics, volume 63 of Banach Center Publications. Polish Academy of Sciences Institute of Mathematics, Warsaw, 2004.

[7] U. Dieckmann, J. A. J. Metz, M. W. Sabelis, and K. Sigmund, editors. Adaptive Dynamics of Infectious Diseases. In Pursuit of Virulence Management, volume 2 of Cambridge Studies in Adaptive Dynamics. IIASA, Laxenburg, 2002.

[8] O. Diekmann, J.A.P. Heesterbeek and T. Britton. Mathematical Tools for Understanding Infectious Disease Dynamics. Princeton, N.J: Princeton University Press, 2013.

[9] F. Brauer and C. Castillo-Chávez. Mathematical models in population biology and epidemiology. Texts in applied mathematics 40. Springer-Verlag, New York, 2nd ed. 2012.

[10] B. Perthame. Transport Equations in Biology. Birkhäuser Verlag, Basel, 2007.

[11] J.M. Cushing. An Introduction to Structured Population Dynamics, CBMS-NSF regional conference series in applied mathematics 71, SIAM, Philadelphia, 1998.

[12] H. Caswell. Matrix population models : construction, analysis, and intepretation, Sunderland (Mass.), Sinauer Associates, 2001.