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Dariusz Wrzosek

Number of publications: 46

2022

Purnedu Mishra, Dariusz Wrzosek , Indirect taxis drives spatio-temporal patterns in an extended Schoener’s intraguild predator–prey model, Applied Mathematics Letters, 125 2022, p. 107745:1-9. See in PBN
Purnedu Mishra, Dariusz Wrzosek , Repulsive chemotaxis and predator evasion in predator–prey models with diffusion and prey-taxis, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 32 (1) 2022, p. 1-42. See in PBN

2020

Purnedu Mishra, Dariusz Wrzosek , The role of indirect prey‐taxis and interference among predators in pattern formation, Mathematical Methods in the Applied Sciences, 43 (18) 2020, p. 10441-10461. See in PBN

2019

Jȩdrzej Jabłoński, Dariusz Wrzosek , Measure-valued solutions to size-structured population model of prey controlled by optimally foraging predator harvester, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 29 (9) 2019, p. 1657-1689. See in PBN
Piotr Krzyżanowski, Michael Winkler, Dariusz Wrzosek , Migration-driven benefit in a two-species nutrient taxis system, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 48 2019, p. 94-116. See in PBN

2018

J.Ignacio Tello, Dariusz Wrzosek , Inter-species competition and chemorepulsion, Journal of Mathematical Analysis and Applications, 459 (2) 2018, p. 1233-1250. See in PBN

2016

Dariusz Wrzosek , J.Ignacio Tello, Predator-prey model with diffusion and indirect prey-taxis, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 26 (11) 2016, p. 2129–2162. See in PBN

2014

Hermann J. Eberl, Messoud A. Efendiev, Dariusz Wrzosek , Anna Zhigun, Analysis of a degenerate biofilm model with a nutrient taxis term, Discrete and Continuous Dynamical Systems, 2014. See in PBN
Rafał Latała , Paweł Strzelecki , Dariusz Wrzosek , Piotr Zakrzewski , Andrzej Ruciński, Jacek Świątkowski, European Congress of Mathematics, Kraków, 2-7 July, 2012, 6 European Congress of Mathematics, Kraków, Poland, 2 July 2012 - 7 July 2012. See in PBN

2013

Zbigniew Gliwicz, Jędrzej Jabłoński, Piotr Maszczyk, Dariusz Wrzosek , Patch exploitation by planktivorous fish and the concept of aggregation as an antipredation defense in zooplankton, Limnology and Oceanography, 2013. See in PBN

2012

Zhi-An Wang, Michael Winkler, Dariusz Wrzosek , Global regularity versus infinite-time singularity formation in a chemotaxis model with volume-filling effect and degenerate diffusion, SIAM Journal on Mathematical Analysis, 2012. See in PBN

2011

Mark Chaplain, Mirosław Lachowicz , Zuzanna Szymańska, Dariusz Wrzosek , Mathematical modelling of cancer invasion: the importance of cell-cell adhesion and cell-matrix adhesion, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2011. See in PBN
Zhi-An Wang, Michael Winkler, Dariusz Wrzosek , Singularity formation in chemotaxis systems with volume-filling effect, Nonlinearity, 2011. See in PBN

2010

Zbigniew Gliwicz, E. Szymanska, Dariusz Wrzosek , Body size distribution in Daphnia populations as an effect of prey selectivity by planktivorous fish, Hydrobiologia, 2010. See in PBN
Piotr Krzyżanowski, Philippe Laurencot, Dariusz Wrzosek , Mathematical models of receptor-mediated transport of morphogens, MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2010. See in PBN
Dariusz Wrzosek , Model of chemotaxis with threshold density and singular diffusion, Nonlinear Analysis, Theory, Methods and Applications, 2010. See in PBN
Dariusz Wrzosek , Volume Filling Effect in Modelling Chemotaxis, Mathematical Modelling of Natural Phenomena, 2010. See in PBN

2008

Dariusz Wrzosek , Chemotaxis models with a threshold cell density, BANACH CENTER PUBLICATIONS, 2008. See in PBN
Dariusz Wrzosek , Matematyka dla biologów, 2008. See in PBN
Zbigniew Gliwicz, Dariusz Wrzosek , Predation-mediated coexistence of large – and small bodied Daphnia at different food levels., American Naturalist, 2008. See in PBN
Piotr Krzyżanowski, Philippe Laurencot, Dariusz Wrzosek , Well-Posedness and Convergence to the Steady State for a Model of Morphogen Transport, SIAM Journal on Mathematical Analysis, 2008. See in PBN

2006

Piotr Krzyżanowski, Dominik Wit, Dariusz Wrzosek , Discontinuous Galerkin method for piecewise regular solutions to the nonlinear age-structured population model, Mathematical Biosciences, 2006. See in PBN
Dariusz Wrzosek , Long-time behaviour of solutions to a chemotaxis model with volume-filling effect, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2006. See in PBN

2005

Philippe Laurencot, Dariusz Wrzosek , A Chemotaxis Model with Threshold Density and Degenerate Diffusion, 2005. See in PBN

2004

Dariusz Wrzosek , Global attractor for a chemotaxis model with prevention of overcrowding, Nonlinear Analysis, Theory, Methods and Applications, 2004. See in PBN
Philippe Laurencot, Dariusz Wrzosek , Time asymptotics for a Becker-Doring-type model of aggregation with collisional fragmentation, Physica D: Nonlinear Phenomena, 2004. See in PBN
Dariusz Wrzosek , Weak solutions to the Cauchy problem for the diffusive discrete coagulation-fragmentation system, Journal of Mathematical Analysis and Applications, 2004. See in PBN

2003

Mirosław Lachowicz , Philippe Laurencot, Dariusz Wrzosek , On the Oort-Hulst-Safranow coagulation equation and its relation to the Smoluchowski equation, SIAM Journal on Mathematical Analysis, 2003. See in PBN
Dariusz Wrzosek , Warsztaty z równań różniczkowych czastkowych, 2003. See in PBN

2002

Ph Laurencot, Dariusz Wrzosek , From the nonlocal to the local discrete diffusive coagulation equations., MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2002. See in PBN
Dariusz Wrzosek , Mass-conserving solutions to the discrete coagulation-fragmentation model with giffusion., Nonlinear Analysis, Theory, Methods and Applications, 2002. See in PBN

2001

Mirosław Lachowicz , Dariusz Wrzosek , Nonlocal bilinear equations. Equilibrium solutions and diffusive limit., MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2001. See in PBN
Philippe Laurencot, Dariusz Wrzosek , The discrete coagulation equations with collisional breakage., Journal of Statistical Physics, 2001. See in PBN

2000

Mirosław Lachowicz , Dariusz Wrzosek , A nonlocal coagulation-fragmentation model., Applicationes Mathematicae, 2000. See in PBN
B Bojarski, Dariusz Wrzosek , W Zajączkowski, Proceedings of Minisemester: Evolutionary equations, Existence Regularity and Singularities., 2000. See in PBN
M Herrero, J Velazquez, Dariusz Wrzosek , Sol-gel transition in coagulation-diffusion model., Physica D: Nonlinear Phenomena, 2000. See in PBN

1999

Philippe Laurencot, Dariusz Wrzosek , Coagulation model with partial diffusion, Zeitschrift für Angewandte Mathematik und Physik, 1999. See in PBN
Dariusz Wrzosek , Wojciech Zajączkowski, Existence of solutions and L∞-bounds for quasilinear degenerate parabolic systems, Journal of Applied Analysis, 1999. See in PBN

1998

Philippe Laurençot, Dariusz Wrzosek , Fragmentation-diffusion model. Existence of solutions and their asymptotic behaviorur, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 1998. See in PBN
Philippe Laurençot, Dariusz Wrzosek , The Becker-Döring model with diffusion. I. Basic properties of solutions, Colloquium Mathematicum, 1998. See in PBN
Philippe Laurençot, Dariusz Wrzosek , The Becker-Döring model with diffusion. II. Long time behavior, Journal of Differential Equations, 1998. See in PBN

1997

Dariusz Wrzosek , Existence of solutions for the discrete coagulation-fragmentation model with diffusion, Topological Methods in Nonlinear Analysis, 1997. See in PBN
Philippe Benilan, Dariusz Wrzosek , On an infinite system of reaction-diffusion equations, Advances in Mathematical Sciences and Applications, 1997. See in PBN

1996

Dariusz Wrzosek , Existence and uniqueness of solutions for a semiconductor device model with current dependent generation-recombination term, Mathematical Methods in the Applied Sciences, 1996. See in PBN