@Article{EAJAM-9-1, 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 = {https://global-sci.com/article/82594/bifurcation-in-a-differential-algebra-predator-prey-system-with-time-lag-effects} }