Title: Global analysis of a plant-hare dynamic with stage structures

Authors: Xiang Gu; Yonghui Xia

Addresses: Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China ' Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

Abstract: A plant-hare model with stage structure for plant is proposed in this paper. By analysing the corresponding characteristic equations, the local stability of the equilibria is investigated and Hopf bifurcations occurring at the positive equilibrium under some conditions are demonstrated. Taking time delay as bifurcating parameter, the direction and stability of Hopf bifurcation are carried out.

Keywords: delay; Hopf bifurcations; periodic solutions; stability; plant-hare model; stage structures; plant-herbivore dynamics; modelling; predator-prey models; predators; plants; herbivores.

DOI: 10.1504/IJDSDE.2012.052844

International Journal of Dynamical Systems and Differential Equations, 2012 Vol.4 No.4, pp.287 - 307

Available online: 25 Mar 2013 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article