Two profitless delays for an SEIRS epidemic disease model with vertical transmission and pulse vaccination

DOI10.1016/j.chaos.2007.09.096zbMath1198.34185OpenAlexW1991056915MaRDI QIDQ602205

Lan-Sun Chen, Xin-Zhu Meng, Jian-Jun Jiao

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.09.096

Mathematics Subject Classification ID

Epidemiology (92D30) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items

Periodic solution of a chemostat model with Beddington-DeAnglis uptake function and impulsive state feedback control ⋮ Effect of vaccination strategies on the dynamic behavior of epidemic spreading and vaccine coverage ⋮ Analysis of a delayed epidemic model with non-monotonic incidence rate and vertical transmission ⋮ A vertically transmitted epidemic model with two state-dependent pulse controls ⋮ Bifurcation behaviors analysis on a predator-prey model with nonlinear diffusion and delay ⋮ Global analysis of a delayed epidemic dynamical system with pulse vaccination and nonlinear incidence rate ⋮ Global stability of an epidemic model with stage structure and nonlinear incidence rates in a heterogeneous host population ⋮ The dynamics of plant disease models with continuous and impulsive cultural control strategies ⋮ Analysis of \(SE^\tau IR^{\omega}S\) epidemic disease models with vertical transmission in complex networks ⋮ The dynamics of a mutual interference age structured predator-prey model with time delay and impulsive perturbations on predators ⋮ Nonlinear modelling of chemostat model with time delay and impulsive effect ⋮ Stability of a novel stochastic epidemic model with double epidemic hypothesis ⋮ Stability analysis of an SIS epidemic model with feedback mechanism on networks ⋮ Dynamic behaviors of an SEIR epidemic model in a periodic environment with impulse vaccination

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of an SEIRS epidemic model with two delays
• Delay differential equations: with applications in population dynamics
• Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity
• The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• Global stability of an SIR epidemic model with time delay.
• Global behavior of an SEIRS epidemic model with time delays
• Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
• Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay.
• Global stability of an SEI epidemic model
• One-dimensional measles dynamics
• Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period
• Complexity of an SIR epidemic dynamics model with impulsive vaccination control
• Impulsive vaccination of SIR epidemic models with nonlinear incidence rates
• A delayed SIRS epidemic model with pulse vaccination
• Global Dynamics of an SEIR Epidemic Model with Vertical Transmission

This page was built for publication: Two profitless delays for an SEIRS epidemic disease model with vertical transmission and pulse vaccination