Limit cycles in a food-chain with inhibition responses (Q1021964)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Limit cycles in a food-chain with inhibition responses |
scientific article; zbMATH DE number 5563224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit cycles in a food-chain with inhibition responses |
scientific article; zbMATH DE number 5563224 |
Statements
Limit cycles in a food-chain with inhibition responses (English)
0 references
9 June 2009
0 references
By constructing a Lyapunov function, the authors show the global asymptotical stability of a three-dimensional food-chain model with inhibition response. Using a corollary to the center manifold theorem they show that the system undergoes a Hopf bifurcation, and the existence of limit cycles for the three-dimensional model is obtained.
0 references
Lyapunov function
0 references
global symptotica stability
0 references
food-chain model
0 references
limit cycle
0 references
0 references
0 references
