Citation: Proceedings of the 2019 Federated Conference on Computer Science and Information Systems, M. Ganzha, L. Maciaszek, M. Paprzycki (eds). ACSIS, Vol. 18, pages 907–910 (2019)
Abstract. This paper deals with a possible approach to controlling marine fish stocks using the prey-predator model described by the Lotka-Volterra equations. The control strategy is conceived using the sliding mode control (SMC) approach which, based on the Lyapunov theorem, offers the possibility to track desired functions, thus guaranteeing the stability of the controlled system. This approach can be used for sustainable management of marine fish stocks: through the developed algorithm, the appropriate number of active fishermen and the suitable period for fishing can be determined. Computer simulations validate the proposed approach.
- European Environment Agency (EEA) (2010). EU 2010 biodiversity baseline.
- Gordon, H. S. The economic theory of a common-property resource: the fishery. The Journal of Political Economy, Vol. 62, No. 2 (Apr., 1954), pp. 124–142
- Leary, B. C., Smart, J. C., Neale, F. C., Hawkins, J. P., Newman, S., Milman, A. C., & Roberts, C. M. (2011) Fisheries mismanagement. Marine Pollution Bulletin, 62 (12), pp. 2642–2648.
- United Nations (2019). Sustainable Development Goal 14. https://sustainabledevelopment.un.org/sdg 14 (20.03.2019).
- Worm, B., Barbier, E. B., Beaumont, N., Duffy, J. E., Folke, C., Halpern, B. S., ... & Sala, E. (2006). Impacts of biodiversity loss on ocean ecosystem services. Science, 314 (5800), pp. 787-790.