@Article{EAJAM-9-122,
author = {Wei Liu and Yaolin Jiang},
title = {Bifurcation in a Differential-Algebra Predator-Prey System with Time Lag Effects},
journal = {East Asian Journal on Applied Mathematics},
year = {2019},
volume = {9},
number = {1},
pages = {122--152},
abstract = {<p style="text-align: justify;">A predator-prey system with Holling type II functional response and a time
lag is described by a delayed differential-algebra system and the local asymptotic stability and Hopf bifurcation of such system is studied. It is shown that if the time lag
increases, a sequence of Hopf bifurcations can occur. The stability and direction of the
Hopf bifurcations are studied by using center manifold theory for functional differential
equations. A numerical example illustrates our theoretical findings.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.070318.070518},
url = {http://global-sci.org/intro/article_detail/eajam/12938.html}
}