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Volume 13, Issue 1
Stability and Hopf Bifurcation of Stationary Solution of a Delay Equation

Li Zhou & Yiping Fu

J. Part. Diff. Eq., 13 (2000), pp. 59-74.

Published online: 2000-02

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  • 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).
  • Keywords

Logistic equation delay stability: Hopf bifurcation

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@Article{JPDE-13-59, author = {Li Zhou and Yiping Fu }, title = {Stability and Hopf Bifurcation of Stationary Solution of a Delay Equation}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {1}, pages = {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).}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5496.html} }
TY - JOUR T1 - Stability and Hopf Bifurcation of Stationary Solution of a Delay Equation AU - Li Zhou & Yiping Fu JO - Journal of Partial Differential Equations VL - 1 SP - 59 EP - 74 PY - 2000 DA - 2000/02 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5496.html KW - Logistic equation KW - delay KW - stability: Hopf bifurcation AB - 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).
Li Zhou and Yiping Fu . (2000). Stability and Hopf Bifurcation of Stationary Solution of a Delay Equation. Journal of Partial Differential Equations. 13 (1). 59-74. doi:
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