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Volume 10, Issue 4
Local Stability and Hopf Bifurcation Analysis for a Predator-Prey control Model with Two Delays

HongxingYao and Jie Zhang

J. Info. Comput. Sci. , 10 (2015), pp. 311-320.

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  • Abstract
Based on facts of time delay will influence dynamical behavior and control theory is more appropriate to reflect the natural rule, constructed a predator-prey control model with two delays,choose the two delays as the bifurcation parameter,according to the Routh-Hurwize discriminant method,we studied the local stability and Hopf branch of the control system.The sufficient conditions for the local stability and the existence of Hopf bifurcation are established.Finally,the effectiveness of the controller is verified by numerical simulation.
  • Keywords

Predator-prey model, stability analysis, Hopf bifurcation, time delay, control

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COPYRIGHT: © Global Science Press

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@Article{JICS-10-311, author = {HongxingYao and Jie Zhang}, title = {Local Stability and Hopf Bifurcation Analysis for a Predator-Prey control Model with Two Delays}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {10}, number = {4}, pages = {311--320}, abstract = { Based on facts of time delay will influence dynamical behavior and control theory is more appropriate to reflect the natural rule, constructed a predator-prey control model with two delays,choose the two delays as the bifurcation parameter,according to the Routh-Hurwize discriminant method,we studied the local stability and Hopf branch of the control system.The sufficient conditions for the local stability and the existence of Hopf bifurcation are established.Finally,the effectiveness of the controller is verified by numerical simulation. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22539.html} }
TY - JOUR T1 - Local Stability and Hopf Bifurcation Analysis for a Predator-Prey control Model with Two Delays AU - HongxingYao and Jie Zhang JO - Journal of Information and Computing Science VL - 4 SP - 311 EP - 320 PY - 2024 DA - 2024/01 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22539.html KW - Predator-prey model, stability analysis, Hopf bifurcation, time delay, control AB - Based on facts of time delay will influence dynamical behavior and control theory is more appropriate to reflect the natural rule, constructed a predator-prey control model with two delays,choose the two delays as the bifurcation parameter,according to the Routh-Hurwize discriminant method,we studied the local stability and Hopf branch of the control system.The sufficient conditions for the local stability and the existence of Hopf bifurcation are established.Finally,the effectiveness of the controller is verified by numerical simulation.
HongxingYao and Jie Zhang. (2024). Local Stability and Hopf Bifurcation Analysis for a Predator-Prey control Model with Two Delays. Journal of Information and Computing Science. 10 (4). 311-320. doi:
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