Robust persistence for semidynamical systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 9, 2001, Pages 6169-6179

  Smith, Hal L ^b   Zhao, Xiao Qiang ^b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b NONE

Author keywords

Chain transitive sets; Uniform persistence

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; PERTURBATION TECHNIQUES; SET THEORY; THEOREM PROVING;

CHAIN TRANSITIVE SETS;

NONLINEAR SYSTEMS;

EID: 0035415180     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00678-2     Document Type: Conference Paper

References (17)

1. Isolated invariant sets and the morse index
2. A parabolic system modeling microbial competition in an unmixed bio-reactor
3. Persistence in discrete semi-dynamical systems
4. Uniform persistence and chain recurrence
5. Asymptotic behavior of dissipative systems
6. Persistence in infinite-dimensional systems
7. Chain transitivity, attractivity and strong repellors for semidynamical systems
8. Uniform persistence and repellors for maps
9. Asymptotically autonomous semiflows: Chain recurrence and Liapunov functions
10. r robust permanence
11. Perturbation of a globally stable steady state
12. Dynamics of a periodically pulsed bio-reactor model
13. Microbial Growth in a plug flow reactor with wall adherence and cell motility
14. Convergence results and Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
15. Persistence under relaxed point-dissipativity (with application to an epidemic model)
16. Uniform persistence and permanence for non-autonomous semiflows in population biology
17. Uniform persistence and periodic coexistence states in infinite-dimensional periodic semiflows with applications