FN Archimer Export Format
PT C
TI A new class of predator prey models with interactions described by thresholds
BT 
AF TRENKEL, Verena
   ROCHET, Marie-Joelle
   SARI, Tewfik
AS 1:1;2:1;3:2;
FF 1:;2:;3:;
C1 Laboratoire MAERHA, IFREMER, Rue de l'Ile d'Yeu, B.P. 21105, 44311 NANTES Cedex 03, FRANCE
   Université de Mulhouse, FRANCE
C2 IFREMER, FRANCE
   UNIV MULHOUSE, FRANCE
UR https://archimer.ifremer.fr/doc/00453/56511/58207.pdf
LA English
DT Proceedings paper
CR EVHOE 2000
   EVHOE 2001
   EVHOE 2002
   EVHOE 2003
   EVHOE 97
   EVHOE 98
   EVHOE 99
BO Thalassa
DE ;predator-prey model;reference points;differential equations
AB 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. 
PY 2004
CT 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.
ID 56511
ER

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