Global stability of an age-structured SIR epidemic model with pulse vaccination strategy

DOI10.1007/S11424-011-9177-YzbMath1255.93106OpenAlexW2072710002MaRDI QIDQ1936564

Jingyuan Yu, Guang-Tian Zhu, He-Long Liu

Publication date: 6 February 2013

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-011-9177-y

zbMATH Keywords

impulsive differential equationsinfection ageimpulsive periodinfection-free situationoptimal vaccination strategy

Mathematics Subject Classification ID

Epidemiology (92D30) Control/observation systems governed by partial differential equations (93C20) Robust stability (93D09)

Related Items (6)

QUALITATIVE ANALYSIS OF SEIRS ENDEMIC MODEL BOTH FROM PDEs AND ODEs PERSPECTIVE ⋮ State feedback control law design for an age-dependent SIR model ⋮ Dynamical aspects of an age-structured SIR endemic model ⋮ Global analysis of an age-structured SEIR endemic model ⋮ Two patterns of recruitment in an epidemic model with difference in immunity of individuals ⋮ Optimal control strategy for an age-structured SIR endemic model

Cites Work

• Stability of periodic solutions for an SIS model with pulse vaccination
• Epidemiological models with age structure, proportionate mixing, and cross-immunity
• Proportionate mixing models for age-dependent infection transmission
• Semiflows generated by Lipschitz perturbations of non-densely defined operators
• Optimal harvesting and optimal vaccination
• Analytical threshold and stability results on age-structured epidemic models with vaccination
• Existence and uniqueness of endemic states for the age-structured S-I-R epidemic model
• Global stability of an age-structure model for TB and its applications to optimal vaccination strategies
• Progression age enhanced backward bifurcation in an epidemic model with super-infection
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• Endemic threshold results in an age-duration-structured population model for HIV infection
• Vaccination campaigns for common childhood diseases
• ANALYSIS OF A VECTOR-HOST MALARIA MODEL WITH IMPULSIVE EFFECT AND INFECTION-AGE
• Optimal Vaccination Patterns in Age-Structured Populations
• GLOBAL ASYMPTOTIC STABILITY FOR THE SIV EPIDEMIC MODEL WITH IMPULSIVE VACCINATION AND INFECTION AGE
• Unnamed Item
• Unnamed Item

This page was built for publication: Global stability of an age-structured SIR epidemic model with pulse vaccination strategy