Hopf bifurcation analysis in a predator-prey model with square root response function with two time delays

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Volume 13, Issue 4

Miao Peng and Zhengdi Zhang

J. Info. Comput. Sci. , 13 (2018), pp. 261-268.

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Abstract

In this paper, we investigate the local stability and Hopf bifurcation analysis in a predator-prey model with square root response function and two time delays. By choosing the two delays as the bifurcation parameter and by analyzing the corresponding characteristic equations, the conditions for the stability and existence of Hopf bifurcation for the system are obtained. Finally, the corresponding numerical simulations are carried out to support the theoretical analysis.

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@Article{JICS-13-261, author = {Miao Peng and Zhengdi Zhang}, title = {Hopf bifurcation analysis in a predator-prey model with square root response function with two time delays}, journal = {Journal of Information and Computing Science}, year = {2018}, volume = {13}, number = {4}, pages = {261--268}, abstract = {In this paper, we investigate the local stability and Hopf bifurcation analysis in a predator-prey model with square root response function and two time delays. By choosing the two delays as the bifurcation parameter and by analyzing the corresponding characteristic equations, the conditions for the stability and existence of Hopf bifurcation for the system are obtained. Finally, the corresponding numerical simulations are carried out to support the theoretical analysis. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22435.html} }

TY - JOUR T1 - Hopf bifurcation analysis in a predator-prey model with square root response function with two time delays AU - Miao Peng and Zhengdi Zhang JO - Journal of Information and Computing Science VL - 4 SP - 261 EP - 268 PY - 2018 DA - 2018/12 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22435.html KW - AB - In this paper, we investigate the local stability and Hopf bifurcation analysis in a predator-prey model with square root response function and two time delays. By choosing the two delays as the bifurcation parameter and by analyzing the corresponding characteristic equations, the conditions for the stability and existence of Hopf bifurcation for the system are obtained. Finally, the corresponding numerical simulations are carried out to support the theoretical analysis.

Miao Peng and Zhengdi Zhang. (2018). Hopf bifurcation analysis in a predator-prey model with square root response function with two time delays. Journal of Information and Computing Science. 13 (4). 261-268. doi:

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