Document Detail

The stability of internal equilibria in predator-prey models with breeding suppression.
MedLine Citation:
PMID:  12650335     Owner:  NLM     Status:  MEDLINE    
We present two models that represent the suppression of breeding by prey in response to short-term increases in predation pressure. For both of these models, we have been able to produce analytic conditions for the local stability of the interior steady state, in terms of the values of combinations of these parameters. Although our models are as simple as possible to capture the effect of breeding suppression, the expressions for local stability, even in their simplest form, are complex. Thus, we come to the important conclusion that there is no simple and general rule for the effect of the behaviours described here (anti-predatory breeding suppression and prey switching by predators) on the stability of population dynamics. Rather, effects will be system specific. However, we hope that the results and methodological framework outlined here will provide a useful tool for others to investigate the consequences for particular real systems.
Graeme D Ruxton; Q J A Khan; Mohamed Al-Lawatia
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  IMA journal of mathematics applied in medicine and biology     Volume:  19     ISSN:  0265-0746     ISO Abbreviation:  IMA J Math Appl Med Biol     Publication Date:  2002 Sep 
Date Detail:
Created Date:  2003-03-24     Completed Date:  2003-07-11     Revised Date:  2006-11-15    
Medline Journal Info:
Nlm Unique ID:  8704892     Medline TA:  IMA J Math Appl Med Biol     Country:  England    
Other Details:
Languages:  eng     Pagination:  207-19     Citation Subset:  IM    
Institute of Biomedical and Life Sciences, Graham Kerr building, University of Glasgow, Glasgow G12 8QQ, UK.
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MeSH Terms
Models, Biological*
Population Dynamics
Predatory Behavior*
Sexual Behavior, Animal*

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