Stability and Hopf Bifurcation of Stationary Solution of a Delay Equation

Stability and Hopf Bifurcation of Stationary Solution of a Delay Equation

Year:    2000

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 1 : pp. 59–74

Abstract

In this paper we investigate a Logistic equation with delay and it is shown that if b(x) > c(x), the stationary solution is globally asymptotically stable; if τ is small, U(x) is locally stable; if b(x) < c(x). there is Hopf bifurcation from U(x).

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JPDE-5496

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 1 : pp. 59–74

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Logistic equation