Asymptotic properties of models of population dynamics

2014/13/B/ST1/00224

Keywords

Descriptors

  • ST1_18: Zastosowania matematyki w innych naukach
  • ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna
  • ST1_11: Równania różniczkowe cząstkowe

Panel

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

Host institution

Instytut Matematyczny Polskiej Akademii Nauk

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Ryszard Rudnicki

Number of co-investigators in the project: 4

Call

OPUS 7 – announced on 2014-03-17

Amount awarded
260 000 PLN
Project start date
2015-02-10
Project end date
2018-02-09
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Information in the final report

Publication in academic press/journals (13)

  1. Stability of stochastic semigroups and applications to Stein's neuronal model

    Authors:
    Katarzyna Pichór and Ryszard Rudnicki
    Academic press:
    Discrete and Continuous Dynamical Systems, B (year: 2018, volume: 23, pages: 377-385), Publisher: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2018026 – link to the publication
  2. Nest site lottery revisited. Towards the mechanistic model of population growth suppressed by availability of nest sites

    Authors:
    Ryszard Rudnicki and Krzysztof Argasiński
    Academic press:
    Journal of Theoretical Biology (year: 2017, volume: 420, pages: 279-289), Publisher: Elsevier Ltd.
    Status:
    Published
    DOI:
    10.1016/j.jtbi.2017.03.003 – link to the publication
  3. Does a population with the highest turnover coefficient win competition?

    Authors:
    Ryszard Rudnicki
    Academic press:
    Journal of Difference Equations and Applications (year: 2017, volume: 23, pages: 1529-1541), Publisher: Taylor & Francis Group
    Status:
    Published
    DOI:
    10.1080/10236198.2017.1339699 – link to the publication
  4. Asymptotic decomposition of substochastic operators and semigroups

    Authors:
    Katarzyna Pichór and Ryszard Rudnicki
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2016, volume: 436, pages: 305–321), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.12.009 – link to the publication
  5. Self-similar solutions of fragmentation equations revisited

    Authors:
    Weronika Biedrzycka, Marta Tyran-Kamińska
    Academic press:
    Discrete and Continuous Dynamical Systems, B (year: 2018, volume: 23, pages: 13-27), Publisher: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2018002 – link to the publication
  6. Response of an oscillatory differential delay equation to a single stimulus

    Authors:
    Michael C. Mackey, Marta Tyran-Kamińska, Hans-Otto Walther
    Academic press:
    J. Math. Biol. (year: 2017, volume: 74, pages: 1139–1196), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00285-016-1051-z – link to the publication
  7. Does assortative mating lead to a polymorphic population? A toy model justification

    Authors:
    Ryszard Rudnicki, Radosław Wieczorek
    Academic press:
    Discrete and Continuous Dynamical Systems, B (year: 2018, volume: 23, pages: 459-472), Publisher: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2018031 – link to the publication
  8. A stochastic particles model of fragmentation process with shattering

    Authors:
    Radosław Wieczorek
    Academic press:
    Electron. J. Probab (year: 2015, volume: 20, pages: 86, 1–17), Publisher: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/EJP.v20-4060 – link to the publication
  9. On asymptotic stability and sweeping of collisionless kinetic equations

    Authors:
    Mustapha Mokhtar-Kharroubi, Ryszard Rudnicki
    Academic press:
    Acta Appl. Math. (year: 2017, volume: 147, pages: 19-38), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10440-016-0066-1 – link to the publication
  10. Existence of invariant densities for semiflows with jumps

    Authors:
    Weronika Biedrzycka and Marta Tyran-Kamińska
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2016, volume: 435, pages: 61-84), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.10.019 – link to the publication
  11. On a stochastic gene expression with pre-mRNA, mRNA and protein contribution

    Authors:
    Ryszard Rudnicki and AndrzejTomski
    Academic press:
    Journal of Theoretical Biology (year: 2015, volume: 387, pages: 54-67), Publisher: Elsevier Ltd.
    Status:
    Published
    DOI:
    10.1016/j.jtbi.2015.09.012 – link to the publication
  12. Asymptotic decomposition of substochastic semigroups and applications

    Authors:
    Katarzyna Pichór, Ryszard Rudnicki
    Academic press:
    Stochastic and Dynamics (year: 2018, volume: 18, pages: 1850001-1-18), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219493718500016 – link to the publication
  13. The limiting dynamics of a bistable molecular switch with and without noise

    Authors:
    Michael C. Mackey and Marta Tyran-Kamińska
    Academic press:
    Journal of Mathematical Biology (year: 2016, volume: 73, pages: 367-395), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00285-015-0949-1 – link to the publication

Book publications / chapters in book publications (2)

  1. Simple Mathematical Models of Gene Regulatory Dynamics

    Authors:
    Michael C. Mackey, Moises Santillan, Marta Tyran-Kamińska, Eduardo S. Zeron
    Book:
    Simple Mathematical Models of Gene Regulatory Dynamics (year: 2016, volume: LNMMLS, pages: 124), Publisher: Springer
    Status:
    Published
    DOI:
    link to the publication
  2. Piecewise Deterministic Processes in Biological Models

    Authors:
    Ryszard Rudnicki and Marta Tyran-Kamińska
    Book:
    Piecewise Deterministic Processes in Biological Models (year: 2017, volume: LNMMLS, pages: 169), Publisher: Springer
    Status:
    Published

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