|Author(s)||Trenkel Verena1, Rochet Marie-Joelle1, Sari Tewfik2|
|Affiliation(s)||1 : Laboratoire MAERHA, IFREMER, Rue de l'Ile d'Yeu, B.P. 21105, 44311 NANTES Cedex 03, FRANCE
2 : Université de Mulhouse, FRANCE
|Meeting||2004 ICES Annual Science Conference. 22-25 September 2004 - 92nd Statutory meeting 19-29 September Vigo, Spain|
|Source||ICES CM DOCUMENTS 2004. The Sustainable Use of Living Marine Resources, FF "Modelling Marine Ecosystems and their Exploitation". ICES CM 2004/FF:04. 5 pp.|
|Keyword(s)||predator-prey model, reference points, differential equations|
There exists an urgent need in fisheries science for simple models for assessing the impact of fishing on the dynamics of fish communities. We present a new class of predator prey models that describe the relationship between predators and their prey by piecewise-linear differential equations. Interactions are governed by threshold values for population abundances. The simplest model has four distinct cases with different asymptotic stable states. The model allows for fishing mortality on both predator and prey. If fishing mortality on either the predator, the prey or both are varied, the system might move to new stable states. The threshold values act as reference points for fishing exploitation, as they indicate a structural change in the predator-prey relationship. The model is demonstrated for several predator-prey couples in the Celtic Sea.
Trenkel Verena, Rochet Marie-Joelle, Sari Tewfik (2004). A new class of predator prey models with interactions described by thresholds. ICES CM DOCUMENTS 2004. The Sustainable Use of Living Marine Resources, FF "Modelling Marine Ecosystems and their Exploitation". ICES CM 2004/FF:04. 5 pp. https://archimer.ifremer.fr/doc/00453/56511/