C. Barril, À. Calsina, J. Z. Farkas, A stochastic population model with hierarchic size-structure, Journal of Applied Mathematics and Computing, 70 (2024), 5515-5542. open access .
C. Barril, À. Calsina, O. Diekmann, J. Z. Farkas, On hierarchical competition through reduction of individual growth, Journal of Mathematical Biology, 88 (2024), no. 6 paper no. 66, 34pp. open access
D. Hu, J. Z. Farkas, G. Huang, Stability results for a hierarchical size-structured population model with distributed delay, Nonlinear Analysis: Real World Applications, 76 (2024), paper no. 103966, 22pp. https://arxiv.org/abs/2307.08342
C. Barril, À. Calsina, O. Diekmann, J. Z. Farkas, On the formulation of size-structured consumer resource models (with special attention for the principle of linearized stability), Mathematical Models and Methods in Applied Sciences, 32 (2022), 1141-1191. https://arxiv.org/abs/2111.09678
J. Z. Farkas, S. A. Gourley, R. Liu, Dengue transmission dynamics in age-structured human populations in the presence of Wolbachia, https://arxiv.org/abs/2111.04399
J. Z. Farkas, R. Chatzopoulos, Assessing the impact of (self)-quarantine through a basic model of infectious disease dynamics, Infectious Disease Reports, 13(4) (2021), 978-992. open access
M. Grinfeld, N. Mottram, J. Farkas, A general model of structured cell kinetics, https://arxiv.org/abs/2102.06490
Simran K. Sandhu, Andrew Yu. Morozov, J. Z. Farkas, Modelling evolution of virulence in populations with a distributed parasite load, Journal of Mathematical Biology, 80 (2020), 111-141. open access.
À. Calsina and J. Z. Farkas, Boundary perturbations and steady states of structured populations, Discrete and Continuous Dynamical Systems - Series B, 24 (2019), 6675-6691. arxiv.org/abs/1902.10457
J. Z. Farkas, P. Gwiazda, A. Marciniak-Czochra, Asymptotic behaviour of a structured population model on a space of measures, arxiv.org/abs/1902.06096
J. Z. Farkas, G. T. Smith, G. F. Webb, A dynamic model of CT scans for quantifying doubling times of ground glass opacities using histogram analysis, Mathematical Biosciences and Engineering, 15 (2018), 1203-1224. open access
J. Z. Farkas, Net reproduction functions for nonlinear structured population models, Mathematical Modelling of Natural Phenomena, 13 (2018), Art. 32. arxiv.org/abs/1705.1102
J. Z. Farkas, S. A. Gourley, R. Liu, A.-A. Yakubu, Modelling Wolbachia infection in a sex-structured mosquito population carrying West Nile virus, Journal of Mathematical Biology, 75 (2017), 621-647. open access
J. Z. Farkas and G. F. Webb, Mathematical analysis of a clonal evolution model of tumour cell proliferation, Journal of Evolution Equations, 17 (2017), 275-308. arxiv.org/abs/1511.05046
À. Calsina, O. Diekmann, J. Z. Farkas, Structured populations with distributed recruitment: from PDE to delay formulation, Mathematical Methods in the Applied Sciences, 39 (2016), 5175-5191. arxiv.org/abs/1510.08624
À. Calsina and J. Z. Farkas, On a strain structured epidemic model, Nonlinear Analysis: Real World Applications, 31 (2016), 325-342. arxiv.org/abs/1510.08621
J. Z. Farkas, A. Yu Morozov, E. G. Arashkevich, A. Nikishina, Revisiting the stability of spatially heterogeneous predator-prey systems under eutrophication, Bulletin of Mathematical Biology, 77 (2015), 1886-1908. arxiv.org/abs/1509.03192
A. S. Ackleh, J. Z. Farkas, X. Li, B. Ma, Finite difference approximations for a size-structured population model with distributed states in the recruitment, Journal of Biological Dynamics, 9 Supp. 1 (2015), 2-31. arxiv.org/abs/1402.6260
À. Calsina and J. Z. Farkas, Positive steady states of nonlinear evolution equations with finite dimensional nonlinearities, SIAM Journal on Mathematical Analysis, 46 (2014), 1406-1426. arxiv.org/abs/1402.6266
J. Z. Farkas and A. Yu Morozov, Modelling effects of rapid evolution on persistence and stability in structured predator-prey systems, Mathematical Modelling of Natural Phenomena, 9 (2014), 26-46. arxiv.org/abs/1402.7215
A. S. Ackleh and J. Z. Farkas, On the net reproduction rate of continuous structured populations with distributed states at birth, Computers and Mathematics with Applications, 66 (2013), 1685-1694. arxiv.org/abs/1202.3800v2
À. Calsina and J. Z. Farkas, Steady states in a structured epidemic model with Wentzell boundary condition, Journal of Evolution Equations, 12 (2012), 495-512. arxiv.org/abs/1112.1724
J. Z. Farkas, P. Hinow, J. Engelstädter, Pathogen evolution in switching environments: a hybrid dynamical system approach, Mathematical Biosciences, 240 (2012), 70-75, and 241 (2013), 147-148. arxiv.org/abs/1104.3001
J. Z. Farkas and P. Hinow, Steady states in hierarchical structured populations with distributed states at birth, Discrete and Continuous Dynamical Systems - Series B, 17 (2012), 2671-2689. arxiv.org/abs/1004.3968
J. Z. Farkas and P. Hinow, Physiologically structured populations with diffusion and dynamic boundary conditions, Mathematical Biosciences and Engineering, 8 (2011), 503-513. arxiv.org/abs/1004.4141
J. Z. Farkas, Size-structured populations: immigration, (bi)stability and the net growth rate, Journal of Applied Mathematics and Computing, 35 (2011), 617-633. arxiv.org/abs/0906.2180
J. Z. Farkas and P. Hinow, Structured and unstructured continuous models for Wolbachia infections, Bulletin of Mathematical Biology, 72 (2010), 2067-2088. arxiv.org/abs/0906.1676
J. Z. Farkas and P. Hinow, On a size-structured two-phase population model with infinite states-at-birth, Positivity, 14 (2010), 501-514. arxiv.org/abs/0903.1649
J. Z. Farkas, D. M. Green, P. Hinow, Semigroup analysis of structured parasite populations, Mathematical Modelling of Natural Phenomena, 5 (2010), 94-114. arxiv.org/abs/0812.1363
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. arxiv.org/abs/0812.1367
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. arxiv.org/abs/0812.1369
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. pdf
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. pdf
J. Z. Farkas, Balanced growth for solutions of nonautonomous partial differential equations, Applied Mathematics Letters, 21 (2008), 264-267. pdf
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. pdf
J. Z. Farkas, Note on asynchronous exponential growth for structured population models, Nonlinear Analysis: Theory, Methods and Applications, 67 (2007), 618-622. fulltext
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. fulltext
J. Z. Farkas, On the linearized stability of age-structured multispecies populations, Journal of Applied Mathematics, (2006), Article ID 60643. pdf
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.
J. Z. Farkas, Stability of an age-structured model, Alkalmazott Matematikai Lapok, 23 (2006), 111-120, (Hungarian, English summary). pdf
J. Z. Farkas, Stability conditions for a nonlinear size-structured model, Nonlinear Analysis: Real World Applications, 6 (2005), 962-969.pdf
J. Z. Farkas, Stability conditions for the nonlinear McKendrick equations, Applied Mathematics and Computation, 156 (2004), 771-777. pdf
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
J. Z. Farkas, Bifurcations of equilibria of a nonlinear age-structured model, Miskolc Mathematical Notes, 5 (2004), 187-192.
J. Z. Farkas, Stability of equilibria of a nonlinear population dynamical model, Proceedings of the Conference Equadiff 2003, 1068-1070.
J. Z. Farkas, The classification of S2xR space groups, Beiträge zur Algebra und Geometrie, 42 (2001), 235-250. pdf
J. Z. Farkas and E. Molnár, Similarity and diffeomorphism classification of S2xR manifolds, Steps in Differential Geometry, Proceedings of the Colloquium on Differential Geometry, 25-30 July 2000 Debrecen, Hungary 105-118. pdf
J. Z. Farkas, S. A. Gourley, R. Liu, A.-A. Yakubu, Using mathematics at AIM to outwit mosquitoes, Notices of the American Mathematical Society, 63 (2016), 292-293. pdf (whole issue)
J. Z. Farkas and P. Hinow, Preface to the Special Issue dedicated to The 8th AIMS Conference on Dynamical Systems and Differential Equations, Journal of Biological Dynamics, 6 (2012). pdf
J. Z. Farkas, The First Helsinki Summer School on Mathematical Ecology and Evolution, ECMTB Communications, 11 (2009) 36-37. pdf
J. Z. Farkas, Linearized stability of structured population dynamical models, PhD thesis, Department of Differential Equations, Budapest University of Technology and Economics, (2005). pdf
J. Z. Farkas, Discrete groups and manifolds in homogeneous geometries, MSc thesis, Department of Geometry, Technical University of Budapest, (2002), in Hungarian. pdf
J. Z. Farkas, Crystallographic groups in homogeneuous geometries, paper presented at the "Research Students Conference", (Won 1st prize and the Dean's special prize.) Faculty of Natural Sciences, Technical University of Budapest, (2000), in Hungarian. pdf
J. Z. Farkas, On the classification of S2xR space groups, paper presented at the "Research Students Conference", (Won 2nd prize.) Faculty of Natural Sciences, Technical University of Budapest, (1999), in Hungarian. pdf
J. Z. Farkas, On the isometries of the spaces S2xR and H2xR, paper presented at the "Research Students Conference", (Won 2nd prize.) Faculty of Natural Sciences, Technical University of Budapest, (1998), in Hungarian. pdf