Discrete Skellam models with rigid harvesting intensity are considered. The existence of stationary and periodic solutions and their stability are investigated. Computer calculations of solutions of discrete equations are presented.

[1] Matsenko V. G. Mathematical modeling of ecological processes : study guide. Chernivtsi : Yury Fedkovich Chernivtsi National University, 2019. 376 p. (in Ukrainian)
[2] Skellam J.G. Random dispersial in theoretical populations. Biometrica, 1951. 38. 196-218.
[3] Suba J., Kawata Y., Linden A. Properties and interpretation of the Skellam model. A discrete-time contest competition population model. Population Ecolody. Online Version, 2023. https://doi.org/10.1002/1438-390x.12169.
[4] Eskola HTM, Geritr SAH. On the mechanistic derivation of various discrete-time population models. Bulletin of Math. Biology. 2007. 69. 329-346.
[5] Matsenko V.G. Modeling harvesting processes for populations with non-overlapping generations. Bukovinian Math. Journal. 10(2). 2022. 165–175. (in Ukrainian)
[6] Sharkovskii A. N. Coexistence of cycles of continuous transformation straight into itself. Ukrainian Mathematical Journal, 1964. XVI(1). P. 61-71. (in Russian)