List of publications

In progress

  1. J.Z. Farkas and P. Hinow, Physiologically structured populations with diffusion and dynamic boundary conditions, in progress.
  2. J.Z. Farkas and P. Hinow, Steady states in hierarchical structured populations with distributed states at birth, in progress.
  3. J.Z. Farkas and P. Hinow, Structured and unstructured continuous models for Wolbachia infections, to appear in Bulletin of Mathematical Biology.
  4. J.Z. Farkas, D. Green and P. Hinow, Semigroup analysis of structured parasite populations, to appear in Mathematical Modelling of Natural Phenomena.
  5. J.Z. Farkas, Size-structured populations: immigration, (bi)stability and the net growth rate, to appear in Journal of Applied Mathematics and Computing.
  6. J.Z. Farkas and P. Hinow, On a size-structured two-phase population model with infinite states-at-birth, to appear in Positivity.
  7. J.Z. Farkas and T. Hagen, Hierarchical size-structured populations: The linearized semigroup approach, to appear in Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis .

Appeared

  1. 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.
  2. 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.
  3. 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.
  4. J.Z. Farkas, Balanced growth for solutions of nonautonomous partial differential equations, Applied Mathematics Letters, 21 (2008) 264-267.
  5. 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.
  6. J.Z. Farkas, Note on asynchronous exponential growth for structured population models, Nonlinear Analysis: Theory, Methods and Applications, 67 (2007) 618-622.
  7. 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.
  8. J.Z. Farkas, On the linearized stability of age-structured multispecies populations, Journal of Applied Mathematics, (2006) Article ID 60643.
  9. 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.
  10. J.Z. Farkas, Stability of an age-structured model, Alkalmazott Matematikai Lapok, 23 (2006) 111-120, (Hungarian, English summary).
  11. J.Z. Farkas, Stability conditions for a nonlinear size-structured model, Nonlinear Analysis: Real World Applications, 6 (2005) 962-969.
  12. J.Z. Farkas, Stability conditions for the nonlinear McKendrick equations, Applied Mathematics and Computation, 156 (2004) 771-777.
  13. 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.
  14. J.Z. Farkas, Bifurcations of equilibria of a nonlinear age-structured model, Miskolc Mathematical Notes, 5 (2004) 187-192.
  15. J.Z. Farkas, Stability of equilibria of a nonlinear population dynamical model, Proceedings of the Conference Equadiff 2003, 1068-1070.
  16. J.Z. Farkas, The classification of S^2 x R space groups, Beitrage zur Algebra und Geometrie (Contributions to Algebra and Geometry), 42 (2001) 235-250.
  17. J.Z. Farkas and E. Molnar, Similarity and diffeomorphism classification of S^2 x R manifolds, Steps in Differential Geometry, Proceedings of the Colloquium on Differential Geometry, 25-30 July 2001 Debrecen, Hungary 105-118.