Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Multi-scale approaches in Life and Social Sciences

2017/25/B/ST1/00051

Keywords:

Multi-scales Reaction-diffusion equations Asymptotic behavior Integral operators Biological and Social Science Processes

Descriptors:

  • ST1_18: Control theory and optimisation
  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_11: Partial differential equations

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Mirosław Lachowicz 

Number of co-investigators in the project: 5

Call: OPUS 13 - announced on 2017-03-15

Amount awarded: 595 200 PLN

Project start date (Y-m-d): 2018-02-07

Project end date (Y-m-d): 2023-02-06

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Licencja MS Office.
  2. laptopy (4 szt.) (24 000 PLN)
  3. Laptop Dell Latitude 5300.
  4. Licencja ESET.

Information in the final report

  • Publication in academic press/journals (47)
  • Articles in post-conference publications (3)
  • Book publications / chapters in book publications (3)
  1. EVOLUTION OF AN INFINITE FISSION-DEATH SYSTEM IN CONTINUUM
    Authors:
    YURI KOZITSKY, AGNIESZKA TANAŚ
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2021, tom: 501, strony: 125222 1-43), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2021.125222 - link to the publication
  2. A phase transition in a Curie-Weiss system with binary interactions
    Authors:
    Y. Kozitsky, M. Kozlovski, O. Dobush,
    Academic press:
    Condensed Matter Physics (rok: 2020, tom: 23, strony: 23502), Wydawca: Institute of Condensed Matter Physics
    Status:
    Published
    DOI:
    10.5488/CMP.23.23502 - link to the publication
  3. Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux
    Authors:
    Boris Andreianov, Carlotta Donadello, Ulrich Razafison, Massimiliano D. Rosini
    Academic press:
    Journal de Mathématiques Pures et Appliquées (rok: 2018, tom: 116, strony: 309-346), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.matpur.2018.01.005 - link to the publication
  4. Diffusive and anti-diffusive behavior for kinetic models of opinion dynamics
    Authors:
    Mirosław Lachowicz, Henryk Leszczyński, Elżbieta Puźniakowska-Gałuch
    Academic press:
    SYMMETRY (rok: 2019, tom: 11, strony: 1024-1039), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/sym11081024 - link to the publication
  5. Evolution of states of an infinite particle system with nonlocal branching.
    Authors:
    Yuri Kozitsky, Agnieszka Tanaś
    Academic press:
    Journal of Evolution Equations (rok: 2022, tom: 22, strony: 7 (25pp)), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00028- - link to the publication
  6. Growth-fragmentation-coagulation equations with unbounded coagulation kernels
    Authors:
    Banasiak, J., Lamb, W.
    Academic press:
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (rok: 2020, tom: 378, strony: 20190612), Wydawca: Royal Society Publishing
    Status:
    Published
    DOI:
    10.1098/rsta.2019.0612rsta20190612 - link to the publication
  7. Microscopic description of DNA thermal denaturation
    Authors:
    Mateusz Dębowski, Mirosław Lachowicz, Zuzanna Szymańska
    Academic press:
    APPLIED MATHEMATICS AND COMPUTATION (rok: 2019, tom: 361, strony: 47-60), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2019.05.001 - link to the publication
  8. ON SPECTRAL GAPS OF GROWTH-FRAGMENTATION SEMIGROUPS IN HIGHER MOMENT SPACES
    Authors:
    Mustapha Mokhtar-Kharroubi, Jacek Banasiak
    Academic press:
    Kinetic and Related Models (rok: 2022, tom: online first, strony: online first), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/krm.2021050 - link to the publication
  9. Stochastic branching at the edge: individual-based modeling of tumor cell proliferation
    Authors:
    Yuri Kozitsky
    Academic press:
    Journal of Evolution Equations (rok: 2021, tom: 21, strony: 2081-2104), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    10.1007/s00028- - link to the publication
  10. Telegraph systems on networks and port-Hamiltonians. II. Network realizability
    Authors:
    Jacek Banasiak, Adam Błoch
    Academic press:
    Networks and Heterogeneous Media (rok: 2022, tom: 17, strony: 73-99), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/nhm.2021024 - link to the publication
  11. On existence, stability and many-particle approximation of solutions of 1D Hughes model with linear costs
    Authors:
    Boris Andreianov, Graziano Stivaletta, Massimiliano D. Rosini
    Academic press:
    Mathematical Models and Methods in Applied Sciences , Wydawca: World Scientific
    Status:
    Submitted
    DOI:
    brak - link to the publication
  12. A SIMPLE MODEL OF COLLAGEN REMODELING
    Authors:
    G. Dudziuk, M. Lachowicz, H. Leszczyński, Z. Szymańska
    Academic press:
    Disccrete and Continuous Dynamical Systems B (rok: 2019, tom: 24, strony: 2205-2217), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2019091 - link to the publication
  13. A phase transition in a Widom– Rowlinson model with Curie–Weiss interaction
    Authors:
    Yuri Kozitsky, Mykhailo Kozlovskii
    Academic press:
    Journal of Statistical Mechanics: Theory and Experiment (rok: 2018, tom: volume 2018, strony: 73202), Wydawca: IOP Publishing (IOP) and SISSA
    Status:
    Published
    DOI:
    10.1088/1742-5468/aace26 - link to the publication
  14. An interplay between attraction and repulsion in infinite populations
    Authors:
    Yuri Kozitsky
    Academic press:
    Analysis and Mathematical Physics (rok: 2021, tom: 11, strony: 142 1-22), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13324-021-00580-7 - link to the publication
  15. Coherence and flow-maximization of a one-way valve
    Authors:
    Andrea Corli, Ulrich Razafison, Massimiliano D. Rosini
    Academic press:
    ESAIM: Mathematical Modelling and Numerical Analysis (rok: 2022, tom: 56, strony: 1715-1739), Wydawca: ESAIM EDP Science
    Status:
    Published
    DOI:
    10.1051/m2an/2022053 - link to the publication
  16. Dynamics of an infinite age-structured particle system
    Authors:
    DOMINIKA JASIŃSKA, YURI KOZITSKY
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2021, tom: n.p., strony: 45307), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.7174 - link to the publication
  17. Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow
    Authors:
    Boris Andreianov, Carlotta Donadello, Massimiliano D. Rosini
    Academic press:
    Nonlinear Differential Equations and Applications (rok: 2021, tom: 28, strony: 37), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00030-021-00689-5 - link to the publication
  18. Explicit solutions to some fragmentation equations with growth or decay
    Authors:
    Banasiak, J.; Poka, D.W. ; Shindin, S.
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2022, tom: 55, strony: 194001), Wydawca: IOPScience
    Status:
    Published
    DOI:
    10.1088/1751-8121/ac5fe7 - link to the publication
  19. Modeling Asymmetric Interactions in Economy
    Authors:
    Mirosław Lachowicz, Henryk Leszczyński
    Academic press:
    Mathematics (rok: 2020, tom: 8, strony: 523), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/math8040523 - link to the publication
  20. Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness
    Authors:
    Jacek Banasiak, Adam Błoch
    Academic press:
    Evolution Equations and Control Theory (rok: 2021, tom: on line first, strony: on line first), Wydawca: American Institute for Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/eect.2021046 - link to the publication
  21. Telegraph systems on networks and port-Hamiltonians. III. Explicit representation and long-term behaviour
    Authors:
    Jacek Banasiak, Adam Błoch
    Academic press:
    Evolution Equations and Control Theory (rok: 2022, tom: 11, strony: 2165-2181), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/eect.2022016 - link to the publication
  22. The Discrete Unbounded Coagulation-Fragmentation Equation with Growth, Decay and Sedimentation
    Authors:
    J. Banasiak, L.O. Joel and S. Shindin
    Academic press:
    Kinetic and Related Models (rok: 2019, tom: 12, strony: 1069-1092), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/krm.2019040 - link to the publication
  23. A class of individual–based models
    Authors:
    Mirosław Lachowicz
    Academic press:
    BIOMATH (rok: 2018, tom: 7, strony: 1804127), Wydawca: www.biomathforum.org/biomath/index.php/biomath
    Status:
    Published
    DOI:
    10.11145/j.biomath.2018.04.127 - link to the publication
  24. EVOLUTION OF INFINITE POPULATIONS OF IMMIGRANTS: MICRO- AND MESOSCOPIC DESCRIPTION
    Authors:
    Yuri Kozitsky
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2019, tom: 477, strony: 294-333), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2019.04.033 - link to the publication
  25. Existence of BV solutions for a non-conservative constrained
    Authors:
    N.Dymski, P.Goatin, M.D.Rosini
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 467, strony: 45-66), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.07.025 - link to the publication
  26. Global solutions of continuous coagulation--fragmentation equations with unbounded coefficients
    Authors:
    Jacek Banasiak
    Academic press:
    Discrete and Continuous Dynamical Systems – S (rok: 2020, tom: 13, strony: 3319–3334), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdss.2020161 - link to the publication
  27. Mathematical Model Explaining the Role of CDC6 in the Diauxic Growth of CDK1 Activity during the MPhase of the Cell Cycle
    Authors:
    Mateusz Dębowski, Zuzanna Szymańska, Jacek Kubiak, Mirosław Lachowicz
    Academic press:
    Cells (rok: 2019, tom: 8, strony: 1537-1555), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/cells8121537 - link to the publication
  28. Some remarks on the renormalization group and Chapman-Enskog type methods in singularly perturbed problems
    Authors:
    J. Banasiak
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2020, tom: 43, strony: 10361-10380), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.6273 - link to the publication
  29. Systems of conservation laws with discontinuous fluxes and applications to traffic
    Authors:
    M.D. Rosini
    Academic press:
    Annales UMCS Sectio A 73 (2019) 135-173 (rok: 2019, tom: 73, strony: 135-173), Wydawca: UMCS Lublin
    Status:
    Published
    DOI:
    10.17951/a.2019.73.2.135-173 - link to the publication
  30. Uniqueness of Gibbs fields with unbounded random interactions on unbounded degree graphs
    Authors:
    Dorota Kepa-Maksymowicz, Yuri Kozitsky
    Academic press:
    Letters in Mathematical Physics (rok: 2020, tom: 110, strony: 2505-2518), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11005-020- - link to the publication
  31. On the statistical mechanics of large populations
    Authors:
    J. Kozicki, K. Pilorz
    Academic press:
    Journal of Physics A: Mathematical and Theoretical , Wydawca: IOPScience
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  32. Jumps and coalescence in the continuum: A numerical study
    Authors:
    Yuri Kozitsky, Igor Omelyan, Krzysztof Pilorz
    Academic press:
    Applied Mathematics and Computation (rok: 2021, tom: 390, strony: 125610 1-11), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2020.125610 - link to the publication
  33. RANDOM JUMPS AND COALESCENCE IN THE CONTINUUM: EVOLUTION OF STATES OF AN INFINITE SYSTEM
    Authors:
    YURI KOZITSKY, KRZYSZTOF PILORZ
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2020, tom: 40, strony: 725-752), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2020059 - link to the publication
  34. Representation of capacity drop at a road merge via point constraints in a first order traffic model
    Authors:
    C.Donadello, E.Dal Santo, S.Pellegrino, M.D.Rosini
    Academic press:
    ESAIM: Mathematical Modelling and Numerical Analysis (rok: 2019, tom: 53, strony: 12420), Wydawca: ESAIM
    Status:
    Published
    DOI:
    10.1051/m2an/2019002 - link to the publication
  35. Spatially inhomogeneous population dynamics: beyond the mean field approximation
    Authors:
    Igor Omelyan, Yuri Kozitsky
    Academic press:
    Journal of Physics A (rok: 2019, tom: 52, strony: 305601), Wydawca: IOPScience
    Status:
    Published
    DOI:
    10.1088/1751-8121/ab2808 - link to the publication
  36. Spreading speeds and travelling waves for monotone systems of impulsive reaction-diffusion equations: application to tree-grass interactions in fire-prone savannas
    Authors:
    Jacek Banasiak, Y. Dumont, I.V. Yatat Djeumen
    Academic press:
    Differential Equations and Dynamical Systems (rok: 2020, tom: on line, strony: on line), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12591-020-00552-6 - link to the publication
  37. Integro-differential Equations: Modelling Order and Disorder
    Authors:
    Mirosław Lachowicz
    Academic press:
    Physics of Life Reviews , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  38. A MARKOV PROCESS FOR AN INFINITE AGE-STRUCTURED POPULATION
    Authors:
    DOMINIKA JASIŃSKA, YURI KOZITSKY
    Academic press:
    Latin American Journal of Probability and Mathematical Statistics, (rok: 2022, tom: 19, strony: 467 492), Wydawca: ALEA
    Status:
    Published
    DOI:
    10.30757/ALEA.v19-18 - link to the publication
  39. A continuous-time Markov chain modeling cancer-immune system interactions
    Authors:
    Diletta Burini, Elena De Angelis, Miroslaw Lachowicz
    Academic press:
    Communications in Applied and Industrial Mathematics (rok: 2018, tom: 9(2), strony: 106-118), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.2478/caim-2018-0018 - link to the publication
  40. A note on the Tikhonov theorem on an infinite interval
    Authors:
    Jacek Banasiak
    Academic press:
    Vietnam Journal of Mathematics (rok: 2021, tom: 49, strony: 69-86), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10013-020-00410-6 - link to the publication
  41. Approximations of kinetic equations of swarm formation: Convergence and exact solutions
    Authors:
    Mirosław Lachowicz, Henryk Leszczyński, Krzysztof A.Topolski
    Academic press:
    Applied Mathematics and Computation (rok: 2022, tom: 417, strony: 126778), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2021.126778 - link to the publication
  42. Diauxic Growth at the Mesoscopic Scale
    Authors:
    Mirosław Lachowicz, Mateusz Dębowski
    Academic press:
    Entropy (rok: 2020, tom: 22, strony: 1280), Wydawca: MDPi
    Status:
    Published
    DOI:
    10.3390/e22111280 - link to the publication
  43. Epidemiological models with quadratic equation for endemic equilibria—A bifurcation atlas
    Authors:
    R. Ouifki, J. Banasiak
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2020, tom: 43, strony: 10413-10429), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.6389 - link to the publication
  44. Lack of BV bounds for approximate solutions to a two-phase transition model arising from vehicular traffic
    Authors:
    Mohamed Benyahia, Massimiliano D. Rosini
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2020, tom: 43, strony: 10381-10390), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.6304 - link to the publication
  45. Phase transitions in the Ising model on a hierarchical random graph based on the triangle
    Authors:
    Monika Kotorowicz, Jurij Kozicki
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2022, tom: 55, strony: 405002), Wydawca: IOPScience
    Status:
    Published
    DOI:
    10.1088/1751-8121/ac9097 - link to the publication
  46. Self-organization with small range interactions: Equilibria and creation of bipolarity
    Authors:
    Mirosław Lachowicz, Henryk Leszczynsk, Krzysztof A. Topolski
    Academic press:
    Applied Mathematics and Computation (rok: 2019, tom: 343, strony: 156–166), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.amc.2018.09.050 - link to the publication
  47. Self-regulation in infinite populations with fission-death dynamics
    Authors:
    Yuri Kozitsky, AgnieszkaTanaś
    Academic press:
    Physics Letters A (rok: 2018, tom: 382, strony: 2455–2458), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.physleta.2018.07.011 - link to the publication
  1. MATHEMATICAL METHODS AND MODELS IN BIOSCIENCES
    Authors:
    R. Anguelov, M. Lachowicz - edytorzy
    Conference:
    International Conference BIOMATH Kruger Park, South Africa (rok: 2018, ), Wydawca: Biomath Forum
    Data:
    konferencja 25-30 czerwiec 2017
    Status:
    Published
  2. Modeling moving bottlenecks on road networks
    Authors:
    N.Dymski, P.Goatin, M.D.Rosini
    Conference:
    XVII International Conference on Hyperbolic Problems Theory, Numerics, Applications (rok: 2018, ), Wydawca: PSU Math Department, USA
    Data:
    konferencja June 25-29
    Status:
    Published
  3. Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic
    Authors:
    B. Andreianov, M.D. Rosini
    Conference:
    SOTA (Semigroups of Operators: Theory and Applications) 2018 (rok: 2020, ), Wydawca: Springer
    Data:
    konferencja 30.09 - 05.10
    Status:
    Published
  1. Modeling tumor growth: a simple individual-based model and its analysis,
    Authors:
    Yuri Kozitsky, Krzysztof Pilorz
    Book:
    Order, Disorder and Criticality. Advanced Problems of Phase Transition Theory (rok: 2020, tom: 6, strony: 201-221), Wydawca: World Scientific
    Status:
    Published
  2. Microscopic and Macroscopic Models for Vehicular and Pedestrian Flows
    Authors:
    Massimiliano D. Rosini
    Book:
    Order, Disorder and Criticality, . Advanced Problems of Phase Transition Theory (rok: 2020, tom: 6, strony: 223-277), Wydawca: World Scientific
    Status:
    Published
  3. Transport on Networks—A Playground of Continuous and Discrete Mathematics in Population Dynamics
    Authors:
    Jacek Banasiak and Aleksandra Puchalska
    Book:
    Mathematics Applied to Engineering, Modelling, and Social Issues, Studies in Systems, Decision and Control 200 (rok: 2019, tom: 200, strony: 439-487), Wydawca: Springer Nature Switzerland AG
    Status:
    Published

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