منابع مشابه
Global Attractivity and Oscillations in a Periodic Delay - Logistic Equation
in which r and K are positive numbers; r is related to the reproduction of the species while K is related to the capacity of the environment to sustain the population. It is assumed that there is no immigration or emigration and other characteristics such as age dependence and interactions with other species are assumed to be not significant. Elementary analysis of (1.1) indicates that the solu...
متن کاملDelay differential logistic equation with harvesting
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...
متن کاملDynamics of Delay Logistic Difference Equation in the Complex Plane
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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We study scalar delay equations ẋ(t) = λf(x(t− 1)) + b−1(x(t) + x(t− p/2)) with odd nonlinearity f , real nonzero parameters λ, b, and two positive time delays 1, p/2. We assume supercritical Hopf bifurcation from x ≡ 0 in the well-understood single-delay case b =∞. Normalizing f ′(0) = 1, branches of constant minimal period pk = 2π/ωk are known to bifurcate from eigenvalues iωk = i(k + 1 2)π a...
متن کاملStability 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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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1986
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/860898