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Analysis of Skellam-type models with periodic regimes
Matsenko Vasyl Grigorovich 1
1 Department of Aplied Mathematics and Information Technologies, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: discrete models, Skellam model, stationary solutions, periodic solutions, stability, harvesting
Abstract

The generalization of the Skellam model is considered. The issue of the existence and stability of stationary and periodic solutions of the model without harvesting and with harvesting is highlighted. A computer analysis of the model solutions is carried out.

References

[1] Matsenko V.G. Modeling of harvesting processes for populations with non-overlapping generations. Bukovynskyi mat. zhurnal. 10 (2). 2022. 165-175.
[2] Matsenko V.G. Analysis of Skellam models with a rigid harvesting strategy. Bukovynskyi mat. zhurnal. 12 (1). 2024. 74-83.
[3] Skellam J.G. Random dispersal in theoretical populations. Biometrica, 1951. 38. 196-218.
References
[1] Matsenko V.G. Modeling harvesting processes for populations with non-overlapping generations. Bukovinian Math. Journal. 10(2). 2022. 165–175. (in Ukrainian)
[2] Matsenko V.G. Analysis of Skellam models with a rigid harvesting strategy. Bukovinian Math. Journal. 12(1). 2024. 74-83. (in Ukrainian)
[3] Skellam J.G. Random dispersal in theoretical populations. Biometrica, 1951. 38. 196-218.

Cite
ACS Style
Matsenko, V.G. Analysis of Skellam-type models with periodic regimes. Bukovinian Mathematical Journal. 2024, 12 https://doi.org/https://doi.org/10.31861/bmj2024.02.12
AMA Style
Matsenko VG. Analysis of Skellam-type models with periodic regimes. Bukovinian Mathematical Journal. 2024; 12(2). https://doi.org/https://doi.org/10.31861/bmj2024.02.12
Chicago/Turabian Style
Vasyl Grigorovich Matsenko. 2024. "Analysis of Skellam-type models with periodic regimes". Bukovinian Mathematical Journal. 12 no. 2. https://doi.org/https://doi.org/10.31861/bmj2024.02.12
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