Document Detail


Qualitative behavior of a variable-yield simple food chain with an inhibiting nutrient.
MedLine Citation:
PMID:  10704638     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
A simple food chain which consists of nutrient, prey and predator in which nutrient is growth limiting at low concentrations but growth inhibiting at high concentrations is investigated in this study. It is assumed that the nutrient concentration is separated into internal and external nutrient concentration and only the internal nutrient level is capable of catalyzing cell growth. It is shown that the dynamics of the system depend on thresholds R(0) and R(1). With inhibition, there exist initial conditions for which the predator becomes extinct but not the prey when R(0)<1. If R(0),R(1)1, the system is uniformly persistent even in the inhibited environment.
Authors:
S R Jang; J Baglama
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Mathematical biosciences     Volume:  164     ISSN:  0025-5564     ISO Abbreviation:  Math Biosci     Publication Date:  2000 Mar 
Date Detail:
Created Date:  2000-04-25     Completed Date:  2000-04-25     Revised Date:  2009-11-11    
Medline Journal Info:
Nlm Unique ID:  0103146     Medline TA:  Math Biosci     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  65-80     Citation Subset:  IM    
Affiliation:
Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, USA. rjang@math.ttu.edu
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MeSH Terms
Descriptor/Qualifier:
Food Chain*
Models, Biological*
Predatory Behavior*

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


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