TY - JOUR
T1 - Dynamics of a Modified Predator-Prey System to Allow for a Functional Response and Time Delay
AU - Wei Liu & Yaolin Jiang
JO - East Asian Journal on Applied Mathematics
VL - 4
SP - 384
EP - 399
PY - 2018
DA - 2018/02
SN - 6
DO - http://doi.org/10.4208/eajam.141214.050616a
UR - https://global-sci.org/intro/article_detail/eajam/10806.html
KW - Predator-prey system, harvesting, stability, time delay, periodic solutions.
AB - <p style="text-align: justify;">A modified predator-prey system described by two differential equations and
an algebraic equation is discussed. Formulae for determining the direction of a Hopf
bifurcation and the stability of the bifurcating periodic solutions are derived differential-algebraic system theory, bifurcation theory and centre manifold theory. Numerical simulations illustrate the results, which includes quite complex dynamical behaviour.</p>