Impulsive state feedback control of a predator-prey model
By Guirong Jiang, Qishao Lu. 2007
148 citations recorded by the source corpus.
The dynamics of a predator-prey model with impulsive state feedback control, which is described by an autonomous system with impulses, is studied. The sufficient conditions of existence and stability of semi-trivial solution and positive period-1 solution are obtained by using the Poincare map and analogue of the Poincare criterion. The qualitative analysis shows that the positive period-1 solution bifurcates from the semi-trivial solution through a fold bifurcation. The bifurcation diagrams of periodic solutions are obtained by using the Poincare map, and it is shown that a chaotic solution is generated via a cascade of period-doubling bifurcations.
Subfields: Computer Networks and Communications, Geometry and Topology, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/8ea804f1da557db9d6f56bbd9b788c48e313fb1c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computer Networks and Communications
In Geometry and Topology
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Impulsive periodic solutions of first‐order singular differential equations (2008, background): “Recent development in this field has been focused by many applied problems, such as control theory [11, 15], population dynamics [21] and medicine [3, 8, 10].”
- Qualitative analysis of a modified Leslie–Gower and Holling-type II predator–prey model with state dependent impulsive effects☆ (2010, methodology): “In particular, Jiang and Lu [15,16] obtained the sufficient conditions of existence and stability of semi-trivial solution, and positive periodic solution for some systems by using the Poincaré map.”