Permanence and extinction in a nonautonomous discrete SIRVS epidemic model with vaccination

DOI10.1016/j.amc.2015.09.071zbMath1410.92147OpenAlexW2181041574MaRDI QIDQ1732237

Tailei Zhang

Publication date: 22 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.09.071

zbMATH Keywords

extinctionpermanencevaccinationthreshold conditionsnonstandard finite difference schemenonautonomous discrete epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Medical epidemiology (92C60)

Related Items (8)

The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence ⋮ The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence ⋮ On an SE(Is)(Ih)AR epidemic model with combined vaccination and antiviral controls for COVID-19 pandemic ⋮ Periodic orbit analysis for a delayed model of malicious signal transmission in wireless sensor networks with discontinuous control ⋮ Unnamed Item ⋮ A consistent discrete version of a nonautonomous SIRVS model ⋮ Global analysis of a novel nonlinear stochastic SIVS epidemic system with vaccination control ⋮ On an SEIADR epidemic model with vaccination, treatment and dead-infectious corpses removal controls

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Almost sufficient and necessary conditions for permanence and extinction of nonautonomous discrete logistic systems with time-varying delays and feedback control.
• A discrete-time model with vaccination for a measles epidemic
• Global analysis of discrete-time SI and SIS epidemic models
• Persistence and extinction of disease in non-autonomous SIRS epidemic models with disease-induced mortality
• Global dynamics of a discretized SIRS epidemic model with time delay
• Permanence of a discrete SIRS epidemic model with time delays
• On the formulation of discrete-time epidemic models
• A discrete method for the identification of parameters of a deterministic epidemic model
• A discrete-time epidemic model with classes of infectives and susceptibles
• Large deviations for discrete-time epidemic models
• The computation of \(R_ 0\) for discrete-time epidemic models with dynamic heterogeneity
• Some discrete-time SI, SIR, and SIS epidemic models
• Models for the simple epidemic
• Host-parasite dynamics and the evolution of host immunity and parasite fecundity strategies
• Uniform persistence and permanence for non-autonomous semiflows in population biology
• Discretizations of nonlinear differential equations using explicit nonstandard methods
• The generalized discrete-time epidemic model with immunity: A synthesis
• Stability and bifurcation analysis in a discrete SIR epidemic model
• Effect of discretization on dynamical behavior of SEIR and SIR models with nonlinear incidence
• Nonautonomous SEIRS and Thron models for epidemiology and cell biology
• A discrete epidemic model with stage structure
• A discrete epidemic model for SARS transmission and control in China
• A discrete time model for a S-I-S infectious disease with a random number of contacts between individuals
• Uniform weak implies uniform strong persistence for non-autonomous semiflows
• Threshold conditions for a non-autonomous epidemic model with vaccination

This page was built for publication: Permanence and extinction in a nonautonomous discrete SIRVS epidemic model with vaccination