Affiliation:
1. School of Science, Jimei University, Xiamen Fujian Province, 361021, P. R. China
Abstract
In this paper, we study a classic mutualistic relationship between the leaf cutter ants and their fungus garden, establishing a time delay mutualistic system with stage structure. We investigate the stability and Hopf bifurcation by analyzing the distribution of the roots of the associated characteristic equation. By means of the center manifold theory and normal form method, explicit formulae are derived to determine the stability, direction and other properties of bifurcating periodic solutions. Finally, some numerical simulations are carried out for illustrating the theoretical results.
Funder
National Natural Sciences Foundation of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献