𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Limit cycles in a food-chain with inhibition responses

✍ Scribed by Lemin Zhu; Siyuan Wang; Xuncheng Huang; Minaya Villasana

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
609 KB
Volume
10
Category
Article
ISSN
1468-1218

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The 3-D bifurcation and limit cycles in
The 3-D bifurcation and limit cycles in a food-chain model
✍ Lemin Zhu; Xuncheng Huang πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 130 KB

## Abstract In this paper, by using a corollary to the center manifold theorem, we show that the 3‐D food‐chain model studied by many authors undergoes a 3‐D Hopf bifurcation, and then we obtain the existence of limit cycles for the 3‐D differential system. The methods used here can be extended to

Coexistence in a simple food chain with
Coexistence in a simple food chain with diffusion
✍ J. LΓ³pez-GΓ³mez; R. Pardo San Gil πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 651 KB

We show the global existence of classical positive solutions in each component of a Lotka-Volterra system with diffusion and logistic growing conditions. We are mainly interested in the search of coexistence states solving the associated elliptic problem under homogeneous Dirichlet boundary conditio