@Article{EAJAM-9-122, author = {}, 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 = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.070318.070518}, url = {http://global-sci.org/intro/article_detail/eajam/12938.html} }