@Article{EAJAM-7-376,
author = {Wei Liu and Yaolin Jiang},
title = {Nonlinear Dynamical Behaviour in a Predator-Prey Model with Harvesting},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {7},
number = {2},
pages = {376--395},
abstract = {<p style="text-align: justify;">We investigate the stability and periodic orbits of a predator-prey model with
harvesting. The model has a biologically-meaningful interior, an attractor undergoing
damped oscillations, and can become destabilised to produce periodic orbits via a Hopf
bifurcation. Some sufficient conditions for the existence of the Hopf bifurcation are
established, and a stability analysis for the periodic solutions using a Lyapunov function
is presented. Finally, some computer simulations illustrate our theoretical results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.020916.250217a},
url = {http://global-sci.org/intro/article_detail/eajam/10755.html}
}