Fecundity regulation in a spatial birth-and-death process

Bezborodov V, Di Persio L, Finkelshtein D, Kondratiev Y, Kutovyi O (2021)
STOCHASTICS AND DYNAMICS 21(1): 2050038.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Bezborodov, Viktor; Di Persio, Luca; Finkelshtein, Dmitri; Kondratiev, YuriUniBi; Kutovyi, OleksandrUniBi
Abstract / Bemerkung
We study a Markov birth-and-death process on a space of locally finite configurations, which describes an ecological model with a density-dependent fecundity regulation mechanism. We establish existence and uniqueness of this process and analyze its properties. In particular, we show global time-space boundedness of the population density and, using a constructed Foster-Lyapunov-type function, we study return times to certain level sets of tempered configurations. We also find sufficient conditions that the degenerate invariant distribution is unique for the considered process.
Stichworte
Measure-valued process; Markov evolution; individual-based models; spatial birth-and-death dynamics; spatial ecology; density-dependent; fecundity
Erscheinungsjahr
2021
Zeitschriftentitel
STOCHASTICS AND DYNAMICS
Band
21
Ausgabe
1
Art.-Nr.
2050038
ISSN
0219-4937
eISSN
1793-6799
Page URI
https://pub.uni-bielefeld.de/record/2950678

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Bezborodov V, Di Persio L, Finkelshtein D, Kondratiev Y, Kutovyi O. Fecundity regulation in a spatial birth-and-death process. STOCHASTICS AND DYNAMICS. 2021;21(1): 2050038.
Bezborodov, V., Di Persio, L., Finkelshtein, D., Kondratiev, Y., & Kutovyi, O. (2021). Fecundity regulation in a spatial birth-and-death process. STOCHASTICS AND DYNAMICS, 21(1), 2050038. doi:10.1142/S0219493720500380
Bezborodov, V., Di Persio, L., Finkelshtein, D., Kondratiev, Y., and Kutovyi, O. (2021). Fecundity regulation in a spatial birth-and-death process. STOCHASTICS AND DYNAMICS 21:2050038.
Bezborodov, V., et al., 2021. Fecundity regulation in a spatial birth-and-death process. STOCHASTICS AND DYNAMICS, 21(1): 2050038.
V. Bezborodov, et al., “Fecundity regulation in a spatial birth-and-death process”, STOCHASTICS AND DYNAMICS, vol. 21, 2021, : 2050038.
Bezborodov, V., Di Persio, L., Finkelshtein, D., Kondratiev, Y., Kutovyi, O.: Fecundity regulation in a spatial birth-and-death process. STOCHASTICS AND DYNAMICS. 21, : 2050038 (2021).
Bezborodov, Viktor, Di Persio, Luca, Finkelshtein, Dmitri, Kondratiev, Yuri, and Kutovyi, Oleksandr. “Fecundity regulation in a spatial birth-and-death process”. STOCHASTICS AND DYNAMICS 21.1 (2021): 2050038.

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