COMPLEXITY AND ASYMPTOTICAL BEHAVIOR OF A SIRS EPIDEMIC MODEL WITH PROPORTIONAL IMPULSIVE VACCINATION

DOI10.1142/S0219525905000580zbMath1082.92040MaRDI QIDQ3373077

Guangzhao Zeng, Lan-Sun Chen

Publication date: 13 March 2006

Published in: Advances in Complex Systems (Search for Journal in Brave)

zbMATH Keywords

chaosquasi-periodic solutionSIRS epidemic modelglobally asymptoticproportional impulsive vaccination

Mathematics Subject Classification ID

Epidemiology (92D30) Application models in control theory (93C95) Ordinary differential equations with impulses (34A37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination ⋮ COMPLEXITY OF AN IVLEV'S PREDATOR-PREY MODEL WITH PULSE ⋮ Global dynamics behaviors for new delay SEIR epidemic disease model with vertical transmission and pulse vaccination

Cites Work

• Stability of periodic solutions for an SIS model with pulse vaccination
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Chaos in functional response host - parasitoid ecosystem models
• Pulse vaccination strategy in the SIR epidemic model: Global asymptotic stable eradication in presence of vaccine failures
• The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Theoretical examination of the pulse vaccination policy in the SIR epidemic model.
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• Asymptotic behavior of an SI epidemic model with pulse removal
• Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control
• The study of predator--prey system with defensive ability of prey and impulsive perturbations on the predator
• Crises, sudden changes in chaotic attractors, and transient chaos
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