Volume 9, Issue 1
Bifurcation in a Differential-Algebra Predator-Prey System with Time Lag Effects

Wei Liu and Yaolin Jiang

10.4208/eajam.070318.070518

East. Asia. J. Appl. Math., 9 (2019), pp. 122-152.

Full Article 97 89
  • 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.

  • History

Published online: 2019-01

  • AMS Subject Headings

92D25

  • Cited by