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TitleGlobal attractivity for scalar differential equations with Small Delay
Author(s)Oliveira, José J.
Faria, Teresa
KeywordsGlobal attractivity
Yorke condition
Delayed population model
Food-limited population
food-limited population model
Issue dateMay-2007
JournalJournal of Mathematical Analysis and Applications
Citation"Journal of Mathematical Analysis and Applications". ISSN 0022-247X. 329 (May 2007) 1397-1420.
Abstract(s)For scalar functional differential equations x'(t) = f (t,x_t ), we refine the method of Yorke and 3/2-type conditions to prove the global attractivity of the trivial solution. The results are applied to establish sufficient conditions for the global attractivity of the positive equilibrium of scalar delayed population models of the form x'(t) = x(t)f (t,x_t ), and illustrated with the study of two food-limited population models with delay, for which several criteria for their global attractivity are given.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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