Delay differential logistic equations with harvesting
نویسندگان
چکیده
منابع مشابه
Delay Differential Logistic Equations with Harvesting
N(t) = r(t)N(t) a ~ bkN(hk(t)) cl(t)N(gl(t)), k ~ l l = l N(t)=~(t) , t O , is considered. The existence and the bounds of positive solutions are studied. Sufficient conditions for the extinction of the solution are presented. © 2004 Elsevier Ltd. All rights reserved. K e y w o r d s D e l a y logistic equations, Linear harvesting, Positive solutions, Extinction of the populatio...
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l~(t) = r(t)N(t) a bkN(hk(t)) cz(t)N(gl(t)), t >_ O, l = l N(t )=~( t ) , t<O, N(O)=No, is considered. The existence and the bounds of positive solutions are studied. Sufficient conditions for the extinction of the solution are presented. © 2005 Elsevier Ltd. All rights reserved. K e y w o r d s D e l a y logistic equations, Linear harvesting, Positive solutions, Extinction of the population, S...
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we obtain the following results: boundednees of all positive solutions, extinction, and persistence conditions. The proofs employ recent results in the theory of linear delay equations with positive and negative coefficients. © 2005 Elsevier Ltd. All rights reserved. g e y w o r d s D e l a y equations, Extinction and persistence, Mackey-Glass equation, Bounded solutions. 1. I N T R O D U C T I...
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where x t ( ) x (t ) and 0. Observe that xt ( ) with 0 represents a portion of the solution trajectory in a recent past. Here, f is a functional operator that takes a time input and a continuous function xt ( ) with 0 and generates a real number (dx (t )/dt ) as its output. A well-known example of a delay differential equation is the Hutchinson equation, or the discrete delay logistic equation,...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2004
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2004.06.005