In progress

  1. À Calsina and J.Z. Farkas, Steady states in a structured epidemic model with Wentzell boundary condition,
    submitted, http://arxiv.org/abs/1112.1724

  2. J.Z. Farkas, P. Hinow, J. Engelstädter, Pathogen evolution in switching environments: a hybrid dynamical system approach,
    submitted, http://arxiv.org/abs/1104.3001

  3. J.Z. Farkas and P. Hinow, Steady states in hierarchical structured populations with distributed states at birth,
    to appear in Discrete and Continuous Dynamical Systems - Series B, http://arxiv.org/abs/1004.3968

Appeared

  1. J.Z. Farkas and P. Hinow, Physiologically structured populations with diffusion and dynamic boundary conditions,
    Mathematical Biosciences and Engineering, 8 (2011) 503-513. http://arxiv.org/abs/1004.4141

  2. J.Z. Farkas, Size-structured populations: immigration, (bi)stability and the net growth rate,
    Journal of Applied Mathematics and Computing, 35 (2011) 617-633. http://arxiv.org/abs/0906.2180

  3. J.Z. Farkas and P. Hinow, Structured and unstructured continuous models for Wolbachia infections,
    Bulletin of Mathematical Biology, 72 (2010) 2967-2088. http://arxiv.org/abs/0906.1676

  4. J.Z. Farkas and P. Hinow, On a size-structured two-phase population model with infinite states-at-birth,
    Positivity, 14 (2010) 501-514. http://arxiv.org/abs/0903.1649

  5. J.Z. Farkas and T. Hagen, Hierarchical size-structured populations: The linearized semigroup approach,
    Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis, 17 (2010) 639-657. http://arxiv.org/abs/0812.1367

  6. J.Z. Farkas, D.M. Green and P. Hinow, Semigroup analysis of structured parasite populations,
    Mathematical Modelling of Natural Phenomena, 5 No. 3 (2010) 94-114. http://arxiv.org/abs/0812.1363

  7. J.Z. Farkas and T. Hagen, Asymptotic analysis of a size-structured cannibalism model with infinite dimensional environmental feedback,
    Communications on Pure and Applied Analysis, 8 (2009) 1825-1839. http://arxiv.org/abs/0812.1369

  8. J.Z. Farkas, Structured populations: The stabilizing effect of the inflow of newborns from an external source and the net growth rate,
    Applied Mathematics and Computation, 199 (2008) 547-558.

  9. J.Z. Farkas and T. Hagen, Asymptotic behaviour of size-structured populations via juvenile-adult interaction,
    Discrete and Continuous Dynamical Systems - Series B, 9 (2008) 249-266.

  10. J.Z. Farkas, Balanced growth for solutions of nonautonomous partial differential equations,
    Applied Mathematics Letters, 21 (2008) 264-267.

  11. J.Z. Farkas and T. Hagen, Linear stability and positivity results for a generalized size-structured Daphnia model with inflow,
    Applicable Analysis, 86 (2007) 1087-1103.

  12. J.Z. Farkas, Note on asynchronous exponential growth for structured population models,
    Nonlinear Analysis: Theory, Methods and Applications, 67 (2007) 618-622.

  13. J.Z. Farkas and T. Hagen, Stability and regularity results for a size-structured population model,
    Journal of Mathematical Analysis and Applications, 328 (2007) 119-136.

  14. J.Z. Farkas, On the linearized stability of age-structured multispecies populations,
    Journal of Applied Mathematics, (2006) Article ID 60643. pdf

  15. J.Z. Farkas, On the stability of a nonlinear structured population dynamical model with two interacting species,
    Differential Equations and Dynamical Systems, 14 (2006) 27-37.

  16. J.Z. Farkas, Stability of an age-structured model,
    Alkalmazott Matematikai Lapok, 23 (2006) 111-120, (Hungarian, English summary). pdf

  17. J.Z. Farkas, Stability conditions for a nonlinear size-structured model,
    Nonlinear Analysis: Real World Applications, 6 (2005) 962-969.

  18. J.Z. Farkas, Stability conditions for the nonlinear McKendrick equations,
    Applied Mathematics and Computation, 156 (2004) 771-777.

  19. J.Z. Farkas, On the asymptotic behaviour of the non-autonomous Gurtin-MacCamy equation,
    Annales Universitatis Scientiarium Budapestiensis de Rolando Eotvos Nominatae, Sectio Mathematica 46 (2004) 111-120. pdf

  20. J.Z. Farkas, Bifurcations of equilibria of a nonlinear age-structured model,
    Miskolc Mathematical Notes, 5 (2004) 187-192.

  21. J.Z. Farkas, Stability of equilibria of a nonlinear population dynamical model,
    Proceedings of the Conference Equadiff 2003, 1068-1070.

  22. J.Z. Farkas, The classification of S2xR space groups,
    Beitrage zur Algebra und Geometrie (Contributions to Algebra and Geometry), 42 (2001) 235-250. pdf

  23. J.Z. Farkas and E. Molnar, Similarity and diffeomorphism classification of S2xR manifolds,
    Steps in Differential Geometry, Proceedings of the Colloquium on Differential Geometry, 25-30 July 2001 Debrecen, Hungary 105-118. pdf

Theses, nonrefereed publications, miscellaneous

  1. J.Z. Farkas and P. Hinow, Preface to the Special Issue dedicated to The 8th AIMS Conference on Dynamical Systems and Differential Equations,
    to appear in Journal of Biological Dynamics. pdf

  2. J.Z. Farkas, The First Helsinki Summer School on Mathematical Ecology and Evolution, ECMTB Communications, 11 (2009) 36-37. pdf

  3. J.Z. Farkas, Linearized stability of structured population dynamical models, PhD thesis, Faculty of Natural Sciences, Budapest University of Technology and Economics, 2005. pdf

  4. J.Z. Farkas, Discrete groups and manifolds in homogeneous geometries, MSc thesis, Department of Geometry, Budapest University of Technology and Economics, 2002, (in Hungarian). pdf

  5. J.Z. Farkas, Crystallographic groups in homogeneuous geometries, paper presented at the "Research Students Conference", Faculty of Natural Sciences, Budapest University of Technology and Economics, 2000, (in Hungarian). pdf

  6. J.Z. Farkas, On the classification of S2xR space groups, paper presented at the "Research Students Conference", Faculty of Natural Sciences, Budapest University of Technology and Economics, 1999, (in Hungarian). pdf

  7. J.Z. Farkas, On the isometries of the spaces S2xR and H2xR, paper presented at the "Research Students Conference", Faculty of Natural Sciences, Budapest University of Technology and Economics, 1998, (in Hungarian). pdf