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Optimization of hard-to-renew resources extraction
- 作者: Kurilova E.V.1, Kulakov M.P.1
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隶属关系:
- Институт комплексного анализа региональных проблем ДВО РАН
- 期: 卷 28, 编号 2 (2025)
- 页面: 24-28
- 栏目: Mathematical Modeling
- URL: https://ogarev-online.ru/1605-220X/article/view/301526
- DOI: https://doi.org/10.31433/2618-9593-2025-28-2-24-28
- EDN: https://elibrary.ru/ZQTACI
- ID: 301526
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Based on a mathematical model of the predator-prey type interacting populations, we have investigated consumption of natural resources in a system with slow recovery of harvested resource. The proposed model incorporates the saturation effect in the predator population, whose reproduction is limited by the volume of available food and the way of its consumption. The focus of the study is on the problem of optimizing predator and prey production. It is shown that there is an optimal withdrawal rate that ensures maximum income with the sustainable development of the community.
作者简介
E. Kurilova
Институт комплексного анализа региональных проблем ДВО РАН
编辑信件的主要联系方式.
Email: katkurilova@mail.ru
ORCID iD: 0000-0001-9104-1032
俄罗斯联邦, ул. Шолом-Алейхема 4, г. Биробиджан, 679016
M. Kulakov
Институт комплексного анализа региональных проблем ДВО РАН
Email: k_matvey@mail.ru
ORCID iD: 0000-0002-7060-2731
俄罗斯联邦, ул. Шолом-Алейхема 4, г. Биробиджан, 679016
参考
- Bazykin A.D. Nelineinaya dinamika vzaimodeistvuyushchikh populyatsii (Nonlinear dynamics of interacting populations). Moscow: Izhevsk: Institute of Computer Research, 2003. 368 p. (In Russ.).
- Woldeab M.S., Rodina L.I. About the methods of renewable resourse extraction from the structured population. Vestnik rossiiskikh universitetov. Matematika, 2022, vol. 27, no. 137, pp. 16–26. (In Russ.). doi: 10.20310/2686-9667-2022-27-137-16-26.
- Kirillov A.N., Ivanova A.S. Method of Tangential Control of “Predator-Prey” System. Vestnik Yuzhno-Ural’skogo gosudarstvennogo universiteta. Seriya «Matematicheskoe modelirovanie i programmirovanie», 2025, vol. 18, no. 1, pp. 15–34. (In Russ.). doi: 10.14529/mmp250102.
- Kurilova E.V., Kulakov M.P., Frisman E.Ya. Modeling the Dynamics of Hard-To-Renew Resources Consumption. Informatika i sistemy upravleniya, 2023, vol. 2, no. 76, pp. 18–32. (In Russ.). doi: 10.22250/18142400_2023_76_2_18.
- Kurilova E.V., Frisman E.Ya. Modeling the Dynamics of Interacting Predator-Prey Populations with Constant Migration of Individuals from Adjacent Territories. Regional’nye problemy, 2024, vol. 27, no. 1, pp. 62–77. (In Russ.). doi: 10.31433/2618-9593-2024-27-1-62-77.
- Neverova G.P., Abakumov A.I., Frisman E.Ya. Dynamic Modes of Exploited Limited Population: Results of Modeling and Numerical Study. Matematicheskaya biologiya i bioinformatika, 2016, vol. 11, no. 1, pp. 1–13. (In Russ.). doi: 10.17537/2016.11.1.
- Revutskaya O.L., Neverova G.P., Frisman E.Ya. Influence of Harvest on the Dynamics of Populations with Age and Sex Structures. Matematicheskaya biologiya i bioinformatika, 2018, vol. 13, no. 1, pp. 270–289. (In Russ.). doi: 10.17537/2018.13.270.
- Frisman E.Ya., Last E.V. Nonlinear Effects on Population Dynamics Related to Age Structure and Fishery Impact. Izvestiya Rossiiskoi akademii nauk. Seriya biologicheskaya, 2005, no. 5, pp. 517–530. (In Russ.). EDN: HTAIGJ.
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