Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1181.34090
Yang, Yu
Hopf bifurcation in a two-competitor, one-prey system with time delay. (English)
[J] Appl. Math. Comput. 214, No. 1, 228-235 (2009). ISSN 0096-3003

The author considers a delayed two-competitor/one-prey system in which both two competitors exhibit Holling II functional response. By choosing the time delay as a bifurcation parameter, it is found that Hopf bifurcation occurs when the delay passes through a certain critical value. Numerical simulations are performed to illustrate the analytical results.
[Cheng-Hsiung Hsu (Chung-Li)]

MSC 2000:: *34K60 Applications of functional-differential equations
34K60 Applications of functional-differential equations
34K18 Bifurcation theory of functional differential equations
34K20 Stability theory of functional-differential equations
34K13 Periodic solutions of functional differential equations
92D25 Population dynamics

Keywords: Hopf bifurcation; time delay; functional response; stability; periodic solutions

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]