TY - JOUR
T1 - Bifurcation in a Differential-Algebra Predator-Prey System with Time Lag Effects
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 122
EP - 152
PY - 2019
DA - 2019/01
SN - 9
DO - http://doi.org/10.4208/eajam.070318.070518
UR - https://global-sci.org/intro/article_detail/eajam/12938.html
KW - Predator-prey, bifurcation, time lag, parametrisation, harvesting.
AB - <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>