Stability and Bifurcation Analysis in a Delayed Predator-Prey Model with Stage-Structure and Harvesting
In this paper, we investigate a delayed stage-structured predator-prey model with continuous harvesting on prey. Positivity and boundness of solutions and sufficient conditions of the stability of equilibria are obtained. Using and as bifurcation parameters, the existence of Hopf bifurcations at equilibria is established by analyzing the distribution of the characteristic values.
H. Wang, B.J. Zhang, X.Z. Liu, D.Z. Luo, S.B. Zhong
Z. C. Jiang and M. W. Nie, "Stability and Bifurcation Analysis in a Delayed Predator-Prey Model with Stage-Structure and Harvesting", Advanced Materials Research, Vols. 143-144, pp. 1358-1363, 2011