Volume 7, Issue 3
The Stability and Hopf Bifurcation of the Prey-predator System with Delay and Migration

Zhou Li, Song Kaitai

J. Part. Diff. Eq.,7(1994),pp.269-288

Published online: 1994-07

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  • Abstract

In this paper we first investigate the system with the inftuence of delay and migration and give a theoretical analysis of the alternative change of the stability discovered by Stepan with computer program, then we reduce the system with the center manifold theorem and present an approximation form of Hopf bifurcation solutions. Finally we give the numerical analysis of stability for a concrete periodic solution.

  • Keywords

Delay migration alternative change of stability center manifold Hopf bifurcation

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@Article{JPDE-7-269, author = {Zhou Li, Song Kaitai}, title = {The Stability and Hopf Bifurcation of the Prey-predator System with Delay and Migration}, journal = {Journal of Partial Differential Equations}, year = {1994}, volume = {7}, number = {3}, pages = {269--288}, abstract = { In this paper we first investigate the system with the inftuence of delay and migration and give a theoretical analysis of the alternative change of the stability discovered by Stepan with computer program, then we reduce the system with the center manifold theorem and present an approximation form of Hopf bifurcation solutions. Finally we give the numerical analysis of stability for a concrete periodic solution.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5688.html} }
TY - JOUR T1 - The Stability and Hopf Bifurcation of the Prey-predator System with Delay and Migration AU - Zhou Li, Song Kaitai JO - Journal of Partial Differential Equations VL - 3 SP - 269 EP - 288 PY - 1994 DA - 1994/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5688.html KW - Delay KW - migration KW - alternative change of stability KW - center manifold KW - Hopf bifurcation AB - In this paper we first investigate the system with the inftuence of delay and migration and give a theoretical analysis of the alternative change of the stability discovered by Stepan with computer program, then we reduce the system with the center manifold theorem and present an approximation form of Hopf bifurcation solutions. Finally we give the numerical analysis of stability for a concrete periodic solution.
Zhou Li, Song Kaitai. (1970). The Stability and Hopf Bifurcation of the Prey-predator System with Delay and Migration. Journal of Partial Differential Equations. 7 (3). 269-288. doi:
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