Global asymptotic stability of an SIR epidemic model with distributed time delay

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 6, 2001, Pages 4107-4115

  Beretta, Edoardo ^b   Hara, Tadayuki ^b   Ma, Wanbiao ^b   Takeuchi, Yasuhiro ^b  

^a SHIZUOKA UNIVERSITY   (Japan)

^b NONE

Author keywords

Distributed time delay; Global asymptotic stability; Invariance principle; Liapunov functional; SIR epidemic model

Indexed keywords

ASYMPTOTIC STABILITY; CONFORMAL MAPPING; INVARIANCE; LYAPUNOV METHODS; MATHEMATICAL MODELS; THEOREM PROVING; VARIATIONAL TECHNIQUES;

EPIDEMIC MODEL;

POPULATION STATISTICS;

EID: 0035425156     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00528-4     Document Type: Article

References (11)

1. Population biology of infectious diseases: Part I
2. Global stability results for a generalized Lotka-Volterra system with distributed delays: Applications to predator-prey and to epidemic systems
3. Convergence results in SIR epidemic models with varying population size
4. Stability analysis for a vector disease model
5. Persistence in infinite-dimensional systems
6. Qualitative analyses of communicable disease models
7. Global asymptotic properties of a delay SIR epidemic mode with finite incubation time
8. Persistence under relaxed point-dissipativity: With application to an endemic model