| Issue |
MATEC Web Conf.
Volume 355, 2022
2021 International Conference on Physics, Computing and Mathematical (ICPCM2021)
|
|
|---|---|---|
| Article Number | 03048 | |
| Number of page(s) | 10 | |
| Section | Computing Methods and Computer Application | |
| DOI | https://doi.org/10.1051/matecconf/202235503048 | |
| Published online | 12 January 2022 | |
Hopf bifurcation analysis in a stage-structure predator–prey model with two time delay
School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, PR China
* Corresponding author: 41821232@xs.ustb.edu.cn
In this paper, we consider a predator-prey system with two time delays, which describes a prey–predator model with parental care for predators. The local stability of the positive equilibrium is analysed. By choosing the two time delays as the bifurcation parameter, the existence of Hopf bifurcation is studied. Numerical simulations show the positive equilibrium loses its stability via the Hopf bifurcation when the time delay increases beyond a threshold.
Key words: Predator-prey model / Delay / Hopf bifurcation / Local stability
© The Authors, published by EDP Sciences, 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.