Document Detail


Effect of resource subsidies on predator-prey population dynamics: a mathematical model.
MedLine Citation:
PMID:  22877320     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
The influence of a resource subsidy on predator-prey interactions is examined using a mathematical model. The model arises from the study of a biological system involving arctic foxes (predator), lemmings (prey), and seal carcasses (subsidy). In one version of the model, the predator, prey and subsidy all occur in the same location; in a second version, the predator moves between two patches, one containing only the prey and the other containing only the subsidy. Criteria for feasibility and stability of the different equilibrium states are studied both analytically and numerically. At small subsidy input rates, there is a minimum prey carrying capacity needed to support both predator and prey. At intermediate subsidy input rates, the predator and prey can always coexist. At high subsidy input rates, the prey cannot persist even at high carrying capacities. As predator movement increases, the dynamic stability of the predator-prey-subsidy interactions also increases.
Authors:
Andrew L Nevai; Robert A Van Gorder
Publication Detail:
Type:  Journal Article     Date:  2012-04-26
Journal Detail:
Title:  Journal of biological dynamics     Volume:  6     ISSN:  1751-3766     ISO Abbreviation:  J Biol Dyn     Publication Date:  2012 Mar 
Date Detail:
Created Date:  2012-08-10     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101299725     Medline TA:  J Biol Dyn     Country:  England    
Other Details:
Languages:  eng     Pagination:  891-922     Citation Subset:  IM    
Affiliation:
a Department of Mathematics , University of Central Florida , Orlando , FL , 32816 , USA.
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