The SEIQS stochastic epidemic model with external source of infection

DOI10.1016/j.apm.2016.04.023zbMath1471.92282OpenAlexW2346567432MaRDI QIDQ2293474

Julia Amador

Publication date: 5 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2016.04.023

zbMATH Keywords

Markov chainquarantineepidemicextinction timecomputer virushazard time

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Related Items

A stochastic epidemic model with two quarantine states and limited carrying capacity for quarantine ⋮ Modeling the state dependent impulse control for computer virus propagation under media coverage ⋮ Modeling malware propagation using a carrier compartment ⋮ Global analysis of a novel nonlinear stochastic SIVS epidemic system with vaccination control ⋮ Dynamics of a stochastic Holling II predator-prey model with Lévy jumps and habitat complexity ⋮ An information diffusion model in social networks with carrier compartment and delay ⋮ Approximate adaptive uniformization of continuous-time Markov chains ⋮ Stochastic inequalities and applications to dynamics analysis of a novel SIVS epidemic model with jumps

Cites Work

• Stochastic modeling of computer virus spreading with warning signals
• A stochastic dynamic model of computer viruses
• Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction
• SEIQRS model for the transmission of malicious objects in computer network
• Stochastic epidemic models: a survey
• A modified epidemiological model for computer viruses
• The stochastic \textit{SIRA} model for computer viruses
• Modeling host-parasitoid interactions with correlated events
• Comparison of deterministic and stochastic SIS and SIR models in discrete time
• A new epidemic model of computer viruses
• SEIRS epidemic model with delay for transmission of malicious objects in computer network
• On the asymptotic behavior of the stochastic and deterministic models of an epidemic
• Numerical methods for Laplace transform inversion
• A state-dependent Markov-modulated mechanism for generating events and stochastic models
• An Introduction to Stochastic Epidemic Models