PULSE VACCINATION IN THE PERIODIC INFECTION RATE SIR EPIDEMIC MODEL

DOI10.1142/S1793524508000370zbMath1156.92028arXivnlin/0606027MaRDI QIDQ3608706

Zhen Jin, Mainul Haque, Quan-Xing Liu

Publication date: 5 March 2009

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0606027

zbMATH Keywords

uniform persistencepositive periodic solutionbasic reproductive numberinfection-free periodic solution

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)

Related Items (24)

Analysis of a saturation incidence SVEIRS epidemic model with pulse and two time delays ⋮ The dynamics of a time delayed epidemic model on a population with birth pulse ⋮ Complex dynamics of a predator-prey model with impulsive state feedback control ⋮ Extinction and periodic solutions for an impulsive SIR model with incidence rate stochastically perturbed ⋮ An information spreading model based on online social networks ⋮ SIS models with switching and pulse control ⋮ Dynamics of a two-species Lotka-Volterra competition system in a polluted environment with pulse toxicant input ⋮ A delayed SEIRS epidemic model with impulsive vaccination and nonlinear incidence rate ⋮ A rumor spreading model based on two propagation channels in social networks ⋮ Stochastic dynamics of HIV models with switching parameters and pulse control ⋮ QUALITATIVE ANALYSIS OF SEIRS ENDEMIC MODEL BOTH FROM PDEs AND ODEs PERSPECTIVE ⋮ Stochastic multi-group epidemic SVIR models: degenerate case ⋮ Analysis of stability and bifurcation for an SEIR epidemic model with saturated recovery rate ⋮ Infectious disease models with time-varying parameters and general nonlinear incidence rate ⋮ Global stability and persistence of HIV models with switching parameters and pulse control ⋮ Permanence in a periodic delay logistic system subject to constant impulsive stocking ⋮ Global analysis of an age-structured SEIR endemic model ⋮ Application of control strategies to a seasonal model of chikungunya disease ⋮ The dynamics of pest control pollution model with age structure and time delay ⋮ An SIR epidemic model with time-varying pulse control schemes and saturated infectious force ⋮ DYNAMICS OF AN IMPULSIVE STOCHASTIC SIR EPIDEMIC MODEL WITH SATURATED INCIDENCE RATE ⋮ Threshold dynamics of the switched multicity epidemic models with pulse control ⋮ Study on a susceptible-exposed-infected-recovered model with nonlinear incidence rate ⋮ The effect of continuous and pulse input nutrient on a lake model

Cites Work

• Unnamed Item
• Stability of periodic solutions for an SIS model with pulse vaccination
• The effect of environmental disturbances on the dynamics of marine intertidal populations
• Subharmonic bifurcation in an S-I-R epidemic model
• Small amplitude, long period outbreaks in seasonally driven epidemics
• Pulse vaccination strategy in the SIR epidemic model
• Globally stable vaccine-induced eradication of horizontally and vertically transmitted infectious diseases with periodic contact rates and disease-dependent demographic factors in the population
• Mixed pulse vaccination strategy in epidemic model with realistically distributed infectious and latent times.
• 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
• Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects
• Periodic solutions for delay differential equations model of plankton allelopathy
• Some global results for nonlinear eigenvalue problems
• The Mathematics of Infectious Diseases
• The periodic competing Lotka-Volterra model with impulsive effect

This page was built for publication: PULSE VACCINATION IN THE PERIODIC INFECTION RATE SIR EPIDEMIC MODEL