Document Detail

Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment.
MedLine Citation:
PMID:  20214909     Owner:  NLM     Status:  MEDLINE    
A new single-species model disturbed by both white noise and colored noise in a polluted environment is developed and analyzed. Sufficient criteria for extinction, stochastic nonpersistence in the mean, stochastic weak persistence in the mean, stochastic strong persistence in the mean and stochastic permanence of the species are established. The threshold between stochastic weak persistence in the mean and extinction is obtained. The results show that both white and colored environmental noises have sufficient effect to the survival results.
Meng Liu; Ke Wang
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't     Date:  2010-03-07
Journal Detail:
Title:  Journal of theoretical biology     Volume:  264     ISSN:  1095-8541     ISO Abbreviation:  J. Theor. Biol.     Publication Date:  2010 Jun 
Date Detail:
Created Date:  2010-05-11     Completed Date:  2010-08-20     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0376342     Medline TA:  J Theor Biol     Country:  England    
Other Details:
Languages:  eng     Pagination:  934-44     Citation Subset:  IM    
Copyright Information:
Copyright (c) 2010 Elsevier Ltd. All rights reserved.
Department of Mathematics, Harbin Institute of Technology, Weihai 264209, PR China.
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MeSH Terms
Computer Simulation
Conservation of Natural Resources / statistics & numerical data*
Environmental Pollution / statistics & numerical data*
Extinction, Biological
Markov Chains
Models, Theoretical*
Population Dynamics
Species Specificity
Stochastic Processes

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