Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/3909
Título: | On a generalized yorke condition for scalar delayed population models |
Autor(es): | Faria, Teresa Liz, Eduardo Oliveira, José J. Trofimchuk, Sergei |
Palavras-chave: | Delay population model Global attractivity Yorke condition 3/2-condition Delayed population model |
Data: | Mar-2005 |
Editora: | American Institute of Mathematical Sciences (AIMS) |
Revista: | Discrete and Continuous Dynamical Systems. Series A |
Citação: | "Discrete and Continuous Dynamical Systems. Series A". ISSN 1078-0947. 12:3 (2005) 481-500. |
Resumo(s): | For a scalar delayed differential equation $\dot x(t)=f(t,x_t)$, we give sufficient conditions for the global attractivity of its zero solution. Some technical assumptions are imposed to insure boundedness of solutions and attractivity of non-oscillatory solutions. For controlling the behaviour of oscillatory solutions, we require a very general condition of Yorke type, together with a 3/2-condition. The results are particularly interesting when applied to scalar differential equations with delays which have served as models in populations dynamics, and can be written in the general form $\dot x(t)=(1+x(t))F(t,x_t)$. Applications to several models are presented, improving known results in the literature. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/3909 |
ISSN: | 1078-0947 1553-5231 |
Versão da editora: | http://aimSciences.org |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
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