ANALYSIS OF A VECTOR-HOST MALARIA MODEL WITH IMPULSIVE EFFECT AND INFECTION-AGE

DOI10.1142/S0219525906000720zbMath1107.92031MaRDI QIDQ3427034

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

Publication date: 14 March 2007

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

zbMATH Keywords

global attractorepidemic modelinfection-ageimpulsive reducing proportion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Ordinary differential equations with impulses (34A37) Medical epidemiology (92C60)

Related Items (5)

Global stability of an age-structured SIR epidemic model with pulse vaccination strategy ⋮ GLOBAL DYNAMICS AND OPTIMAL CONTROL FOR A VECTOR-BORNE EPIDEMIC MODEL WITH MULTI-CLASS-AGE STRUCTURE AND HORIZONTAL TRANSMISSION ⋮ Asymptotic analysis of a vector-borne disease model with the age of infection ⋮ Global dynamics of a vector-borne disease model with infection ages and general incidence rates ⋮ Effects of sterile males and fertility of infected mosquitoes on mosquito-borne disease dynamics

Cites Work

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• Stability of periodic solutions for an SIS model with pulse vaccination
• Progression age enhanced backward bifurcation in an epidemic model with super-infection
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• A mathematical model for Chagas disease with infection-age-dependent infectivity
• Coupling ecology and evolution: malaria and the \(S\)-gene across time scales
• The Mathematics of Infectious Diseases
• A Two-Strain Tuberculosis Model with Age of Infection

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