Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Asymptotic properties of models of population dynamics

2014/13/B/ST1/00224

Keywords:

Markov processes semigroups of positive operators evolution equations population dynamics asymptotic stability chaos

Descriptors:

  • ST1_18: Control theory and optimisation
  • ST1_13: Probability and statistics
  • 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 :

Instytut Matematyczny PAN

woj. 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 (Y-m-d): 2015-02-10

Project end date (Y-m-d): 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)
  • Book publications / chapters in book publications (2)
  1. A stochastic particles model of fragmentation process with shattering
    Authors:
    Radosław Wieczorek
    Academic press:
    Electron. J. Probab (rok: 2015, tom: 20, strony: 86, 1–17), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/EJP.v20-4060 - link to the publication
  2. Does a population with the highest turnover coefficient win competition?
    Authors:
    Ryszard Rudnicki
    Academic press:
    Journal of Difference Equations and Applications (rok: 2017, tom: 23, strony: 1529-1541), Wydawca: Taylor & Francis Group
    Status:
    Published
    DOI:
    10.1080/10236198.2017.1339699 - link to the publication
  3. Existence of invariant densities for semiflows with jumps
    Authors:
    Weronika Biedrzycka and Marta Tyran-Kamińska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2016, tom: 435, strony: 61-84), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.019 - link to the publication
  4. 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. (rok: 2017, tom: 74, strony: 1139–1196), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00285-016-1051-z - link to the publication
  5. Asymptotic decomposition of substochastic operators and semigroups
    Authors:
    Katarzyna Pichór and Ryszard Rudnicki
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2016, tom: 436, strony: 305–321), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.12.009 - link to the publication
  6. Asymptotic decomposition of substochastic semigroups and applications
    Authors:
    Katarzyna Pichór, Ryszard Rudnicki
    Academic press:
    Stochastic and Dynamics (rok: 2018, tom: 18, strony: 1850001-1-18), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219493718500016 - link to the publication
  7. 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 (rok: 2017, tom: 420, strony: 279-289), Wydawca: Elsevier Ltd.
    Status:
    Published
    DOI:
    10.1016/j.jtbi.2017.03.003 - link to the publication
  8. 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 (rok: 2018, tom: 23, strony: 459-472), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2018031 - link to the publication
  9. On a stochastic gene expression with pre-mRNA, mRNA and protein contribution
    Authors:
    Ryszard Rudnicki and AndrzejTomski
    Academic press:
    Journal of Theoretical Biology (rok: 2015, tom: 387, strony: 54-67), Wydawca: Elsevier Ltd.
    Status:
    Published
    DOI:
    10.1016/j.jtbi.2015.09.012 - link to the publication
  10. On asymptotic stability and sweeping of collisionless kinetic equations
    Authors:
    Mustapha Mokhtar-Kharroubi, Ryszard Rudnicki
    Academic press:
    Acta Appl. Math. (rok: 2017, tom: 147, strony: 19-38), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10440-016-0066-1 - link to the publication
  11. 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 (rok: 2018, tom: 23, strony: 377-385), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2018026 - link to the publication
  12. 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 (rok: 2016, tom: 73, strony: 367-395), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00285-015-0949-1 - link to the publication
  13. Self-similar solutions of fragmentation equations revisited
    Authors:
    Weronika Biedrzycka, Marta Tyran-Kamińska
    Academic press:
    Discrete and Continuous Dynamical Systems, B (rok: 2018, tom: 23, strony: 13-27), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdsb.2018002 - link to the publication
  1. Piecewise Deterministic Processes in Biological Models
    Authors:
    Ryszard Rudnicki and Marta Tyran-Kamińska
    Book:
    Piecewise Deterministic Processes in Biological Models (rok: 2017, tom: LNMMLS, strony: 169), Wydawca: Springer
    Status:
    Published
  2. 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 (rok: 2016, tom: LNMMLS, strony: 124), Wydawca: Springer
    Status:
    Published
    DOI:
    link to the publication

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