Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  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

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy