Dynamical analysis of time delay effects on the stability of a harvested predator-prey system with a general Holling type response
The study of predator-prey dynamics has long served as a cornerstone in ecological modelling. This research investigates a generalized predator-prey model incorporating a general Holling-type functional response, combined harvesting, and discrete time delays. The model considers both prey and predat...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-09-01
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| Series: | Results in Control and Optimization |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S266672072500089X |
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| author | Odhiambo Francis |
| author_facet | Odhiambo Francis |
| author_sort | Odhiambo Francis |
| collection | DOAJ |
| description | The study of predator-prey dynamics has long served as a cornerstone in ecological modelling. This research investigates a generalized predator-prey model incorporating a general Holling-type functional response, combined harvesting, and discrete time delays. The model considers both prey and predator harvesting strategies under realistic ecological constraints, and includes maturation and response delays to better capture biological interactions. Using qualitative analysis techniques, such as local stability, Hopf bifurcation, and numerical simulations, we explore the system's dynamic behavior. The goal of this research is to determine the optimal harvesting rate (or effort) that balances resource extraction with the need to maintain ecosystem stability and the long-term viability of both predator and prey populations. Findings from this study may inform sustainable harvesting policies and contribute to more accurate ecological forecasting models. |
| format | Article |
| id | doaj-art-3fa6f648fd494c60a6e41aea119277d5 |
| institution | DOAJ |
| issn | 2666-7207 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj-art-3fa6f648fd494c60a6e41aea119277d52025-08-20T03:07:17ZengElsevierResults in Control and Optimization2666-72072025-09-012010060310.1016/j.rico.2025.100603Dynamical analysis of time delay effects on the stability of a harvested predator-prey system with a general Holling type responseOdhiambo Francis0Department of pure and applied mathematics; Jaramogi Oginga Odinga University of Science and Technology (JOOUST); KenyaThe study of predator-prey dynamics has long served as a cornerstone in ecological modelling. This research investigates a generalized predator-prey model incorporating a general Holling-type functional response, combined harvesting, and discrete time delays. The model considers both prey and predator harvesting strategies under realistic ecological constraints, and includes maturation and response delays to better capture biological interactions. Using qualitative analysis techniques, such as local stability, Hopf bifurcation, and numerical simulations, we explore the system's dynamic behavior. The goal of this research is to determine the optimal harvesting rate (or effort) that balances resource extraction with the need to maintain ecosystem stability and the long-term viability of both predator and prey populations. Findings from this study may inform sustainable harvesting policies and contribute to more accurate ecological forecasting models.http://www.sciencedirect.com/science/article/pii/S266672072500089XTime delayHarvestingGeneral Holling type responseCritical delayBifurcation |
| spellingShingle | Odhiambo Francis Dynamical analysis of time delay effects on the stability of a harvested predator-prey system with a general Holling type response Results in Control and Optimization Time delay Harvesting General Holling type response Critical delay Bifurcation |
| title | Dynamical analysis of time delay effects on the stability of a harvested predator-prey system with a general Holling type response |
| title_full | Dynamical analysis of time delay effects on the stability of a harvested predator-prey system with a general Holling type response |
| title_fullStr | Dynamical analysis of time delay effects on the stability of a harvested predator-prey system with a general Holling type response |
| title_full_unstemmed | Dynamical analysis of time delay effects on the stability of a harvested predator-prey system with a general Holling type response |
| title_short | Dynamical analysis of time delay effects on the stability of a harvested predator-prey system with a general Holling type response |
| title_sort | dynamical analysis of time delay effects on the stability of a harvested predator prey system with a general holling type response |
| topic | Time delay Harvesting General Holling type response Critical delay Bifurcation |
| url | http://www.sciencedirect.com/science/article/pii/S266672072500089X |
| work_keys_str_mv | AT odhiambofrancis dynamicalanalysisoftimedelayeffectsonthestabilityofaharvestedpredatorpreysystemwithageneralhollingtyperesponse |