MATEC Web Conf.
Volume 355, 20222021 International Conference on Physics, Computing and Mathematical (ICPCM2021)
|Number of page(s)||10|
|Section||Computing Methods and Computer Application|
|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: firstname.lastname@example.org
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
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