Linear stability of the delay logistic equation
نویسندگان
چکیده
منابع مشابه
Stability and Hopf Bifurcation Analysis of the Delay Logistic Equation
Logistic functions are good models of biological population growth. They are also popular in marketing in modelling demand-supply curves and in a different context, to chart the sales of new products over time. Delays being inherent in any biological system, we seek to analyse the effect of delays on the growth of populations governed by the logistic equation. In this paper, the local stability...
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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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The dynamics of the delay logistic equation with complex parameters and arbitrary complex initial conditions is investigated. The analysis of the local stability of this difference equation has been carried out. We further exhibit several interesting characteristics of the solutions of this equation, using computations, which does not arise when we consider the same equation with positive real ...
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15 صفحه اولOn stability regions of the modified midpoint method for a linear delay differential equation
*Correspondence: [email protected] Institute of Mathematics, Brno University of Technology, Technická 2, Brno, 616 69, Czech Republic Abstract The paper deals with stability regions of a certain discretization of a linear differential equation with constant delay. The main aim of the paper is to analyze the regions of asymptotic stability of the modified midpoint method applied to a li...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2004
ISSN: 0893-9659
DOI: 10.1016/j.aml.2004.07.010