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
Principal investigator (from the host institution)
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)
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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)
-
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
-
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