Publikacje

Dariusz Wrzosek

Liczba publikacji: 47

2023

• Purnedu Mishra, Dariusz Wrzosek , Pursuit-evasion dynamics for Bazykin-type predator-prey model with indirect predator taxis, Journal of Differential Equations, 361 2023, s. 391-416. Zobacz w PBN

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, s. 107745:1-9. Zobacz w PBN
• Purnedu Mishra, Dariusz Wrzosek , Repulsive chemotaxis and predator evasion in predator–prey models with diffusion and prey-taxis, Mathematical Models and Methods in Applied Sciences, 32 (1) 2022, s. 1-42. Zobacz w 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, s. 10441-10461. Zobacz w PBN

2019

• Jȩdrzej Jabłoński, Dariusz Wrzosek , Measure-valued solutions to size-structured population model of prey controlled by optimally foraging predator harvester, Mathematical Models and Methods in Applied Sciences, 29 (9) 2019, s. 1657-1689. Zobacz w PBN
• Piotr Krzyżanowski, Michael Winkler, Dariusz Wrzosek , Migration-driven benefit in a two-species nutrient taxis system, Nonlinear Analysis: Real World Applications, 48 2019, s. 94-116. Zobacz w PBN

2018

• J.Ignacio Tello, Dariusz Wrzosek , Inter-species competition and chemorepulsion, Journal of Mathematical Analysis and Applications, 459 (2) 2018, s. 1233-1250. Zobacz w PBN

2016

• Dariusz Wrzosek , J.Ignacio Tello, Predator-prey model with diffusion and indirect prey-taxis, Mathematical Models and Methods in Applied Sciences, 26 (11) 2016, s. 2129–2162. Zobacz w 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. Zobacz w 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 lipca 2012 - 7 lipca 2012. Zobacz w 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, 58 (5) 2013, s. 1621-1639. Zobacz w 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. Zobacz w 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 and Methods in Applied Sciences, 2011. Zobacz w PBN
• Zhi-An Wang, Michael Winkler, Dariusz Wrzosek , Singularity formation in chemotaxis systems with volume-filling effect, Nonlinearity, 2011. Zobacz w 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. Zobacz w PBN
• Piotr Krzyżanowski, Philippe Laurencot, Dariusz Wrzosek , Mathematical models of receptor-mediated transport of morphogens, Mathematical Models and Methods in Applied Sciences, 2010. Zobacz w PBN
• Dariusz Wrzosek , Model of chemotaxis with threshold density and singular diffusion, Nonlinear Analysis, Theory, Methods and Applications, 2010. Zobacz w PBN
• Dariusz Wrzosek , Volume Filling Effect in Modelling Chemotaxis, Mathematical Modelling of Natural Phenomena, 2010. Zobacz w PBN

2008

• Dariusz Wrzosek , Chemotaxis models with a threshold cell density, BANACH CENTER PUBLICATIONS, 2008. Zobacz w PBN
• Dariusz Wrzosek , Matematyka dla biologów, 2008. Zobacz w PBN
• Zbigniew Gliwicz, Dariusz Wrzosek , Predation-mediated coexistence of large – and small bodied Daphnia at different food levels., American Naturalist, 2008. Zobacz w 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. Zobacz w 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. Zobacz w 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. Zobacz w PBN

2005

• Philippe Laurencot, Dariusz Wrzosek , A Chemotaxis Model with Threshold Density and Degenerate Diffusion, 2005. Zobacz w PBN

2004

• Dariusz Wrzosek , Global attractor for a chemotaxis model with prevention of overcrowding, Nonlinear Analysis, Theory, Methods and Applications, 2004. Zobacz w PBN
• Philippe Laurencot, Dariusz Wrzosek , Time asymptotics for a Becker-Doring-type model of aggregation with collisional fragmentation, Physica D: Nonlinear Phenomena, 2004. Zobacz w PBN
• Dariusz Wrzosek , Weak solutions to the Cauchy problem for the diffusive discrete coagulation-fragmentation system, Journal of Mathematical Analysis and Applications, 2004. Zobacz w 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. Zobacz w PBN
• Dariusz Wrzosek , Warsztaty z równań różniczkowych czastkowych, 2003. Zobacz w PBN

2002

• Ph Laurencot, Dariusz Wrzosek , From the nonlocal to the local discrete diffusive coagulation equations., Mathematical Models and Methods in Applied Sciences, 2002. Zobacz w PBN
• Dariusz Wrzosek , Mass-conserving solutions to the discrete coagulation-fragmentation model with giffusion., Nonlinear Analysis, Theory, Methods and Applications, 2002. Zobacz w PBN

2001

• Mirosław Lachowicz , Dariusz Wrzosek , Nonlocal bilinear equations. Equilibrium solutions and diffusive limit., Mathematical Models and Methods in Applied Sciences, 2001. Zobacz w PBN
• Philippe Laurencot, Dariusz Wrzosek , The discrete coagulation equations with collisional breakage., Journal of Statistical Physics, 2001. Zobacz w PBN

2000

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

1999

• Philippe Laurencot, Dariusz Wrzosek , Coagulation model with partial diffusion, Zeitschrift für Angewandte Mathematik und Physik, 1999. Zobacz w PBN
• Dariusz Wrzosek , Wojciech Zajączkowski, Existence of solutions and L∞-bounds for quasilinear degenerate parabolic systems, Journal of Applied Analysis, 1999. Zobacz w 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. Zobacz w PBN
• Philippe Laurençot, Dariusz Wrzosek , The Becker-Döring model with diffusion. I. Basic properties of solutions, Colloquium Mathematicum, 1998. Zobacz w PBN
• Philippe Laurençot, Dariusz Wrzosek , The Becker-Döring model with diffusion. II. Long time behavior, Journal of Differential Equations, 1998. Zobacz w PBN

1997

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

1992

• Dariusz Wrzosek , The non-stationary semiconductor model with bounded convective velocity and generation/recombination term, 1992. Zobacz w PBN

1990

• Dariusz Wrzosek , Limit cycles in predator-prey models, Mathematical Biosciences, 1990. Zobacz w PBN