@Article{CMR-34-2,
author = {Zizhen, Zhang and Yugui, Chu and Zhang, Xin},
title = {Hopf Bifurcation of Delayed Predator-Prey System with Reserve Area for Prey and in the Presence of Toxicity},
journal = {Communications in Mathematical Research },
year = {2018},
volume = {34},
number = {2},
pages = {161--170},
abstract = {<p style="text-align: justify;">A kind of three species delayed predator-prey system with reserve area
for prey and in the presence of toxicity is proposed in this paper. Local stability of
the coexistence equilibrium of the system and the existence of a Hopf bifurcation is
established by choosing the time delay as the bifurcation parameter. Explicit formulas to determine the direction and stability of the Hopf bifurcation are obtained by
means of the normal form theory and the center manifold theorem. Finally, we give
a numerical example to illustrate the obtained results.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2018.02.08},
url = {https://global-sci.com/article/81598/hopf-bifurcation-of-delayed-predator-prey-system-with-reserve-area-for-prey-and-in-the-presence-of-toxicity}
}