𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hopf bifurcation in a delayed differential–algebraic biological economic system

✍ Scribed by Guodong Zhang; Lulu Zhu; Boshan Chen

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
401 KB
Volume
12
Category
Article
ISSN
1468-1218

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we consider a differential-algebraic biological economic system with time delay where the model with Holling type II functional response incorporates a constant prey refuge and prey harvesting. By considering time delay as bifurcation parameter, we analyze the stability and the Hopf bifurcation of the differential-algebraic biological economic system based on the new normal form approach of the differential-algebraic system and the normal form approach and the center manifold theory. Finally, numerical simulations illustrate the effectiveness of our results.

📜 SIMILAR VOLUMES

Hopf bifurcation in a prototype delayed
Hopf bifurcation in a prototype delayed system
✍ Chunguang Li; Xiaofeng Liao; Juebang Yu 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 151 KB

A simple model described by an autonomous continuous delayed differential equation with one variable, proposed by Uc ßar, is considered in this paper. We will show that Hopf bifurcations occur in this simple system. The stability of bifurcating periodic solutions and the direction of Hopf bifurcatio