On the Extinction of theS–I–Sstochastic logistic epidemic
From MaRDI portal
Publication:4206606
DOI10.2307/3214374zbMath0687.92012OpenAlexW3184575055MaRDI QIDQ4206606
Richard J. Kryscio, Claude Lefèvre
Publication date: 1989
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/3214374
approximationquasi-stationary distributionmean time to extinctionbirth-and-death processesexpected lengthS-I-S epidemic model
Related Items (51)
Stochastic models for mainland-island metapopulations in static and dynamic landscapes ⋮ Game-theoretic frameworks for epidemic spreading and human decision-making: a review ⋮ Effect of immunization through vaccination on the SIS epidemic spreading model ⋮ On extinction time of a generalized endemic chain-binomial model ⋮ Dynamics and Biological Thresholds ⋮ Novel bivariate moment-closure approximations ⋮ A Primer on Noise-Induced Transitions in Applied Dynamical Systems ⋮ Extinction times in the subcritical stochastic SIS logistic epidemic ⋮ Hamiltonian analysis of subcritical stochastic epidemic dynamics ⋮ The effect of waning immunity on long-term behaviour of stochastic models for the spread of infection ⋮ The time to extinction for a stochastic SIS-household-epidemic model ⋮ Extinction-time for stochastic population models ⋮ Quasi-stationary asymptotics for perturbed semi-Markov processes in discrete time ⋮ ON THE QUASI-STATIONARY DISTRIBUTION OF SIS MODELS ⋮ Asymptotic persistence time formulae for multitype birth–death processes ⋮ Probability analysis of a stochastic SIS epidemic model ⋮ The SIS Great Circle Epidemic Model ⋮ Metapopulation theory for fragmented landscapes ⋮ Stationarity in moment closure and quasi-stationarity of the SIS model ⋮ Stochastic models of kleptoparasitism ⋮ Epidemic Size in the SIS Model of Endemic Infections ⋮ Quasi-stationary and ratio of expectations distributions: a comparative study ⋮ Approximating the quasi-stationary distribution of the SIS model for endemic infection ⋮ Comparison of deterministic and stochastic SIS and SIR models in discrete time ⋮ A stochastic model for head lice infections ⋮ On the quasi-stationary distribution of the Ross malaria model ⋮ Approximation methods for analyzing multiscale stochastic vector-borne epidemic models ⋮ Stochastic epidemic models revisited: analysis of some continuous performance measures ⋮ Approximating time to extinction for endemic infection models ⋮ SDE SIS epidemic model with demographic stochasticity and varying population size ⋮ Approximating Quasistationary Distributions of Birth–Death Processes ⋮ Demographic stochasticity in the SDE SIS epidemic model ⋮ Persistence-time estimation for some stochastic SIS epidemic models ⋮ Extinction time of the logistic process ⋮ Extinction and Quasi-Stationarity for Discrete-Time, Endemic SIS and SIR Models ⋮ Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction ⋮ Endemic Behaviour of SIS Epidemics with General Infectious Period Distributions ⋮ Extinction and quasi-stationarity in the stochastic logistic SIS model. ⋮ The limiting conditional probability distribution in a stochastic model of T cell repertoire maintenance ⋮ Critical scaling for the SIS stochastic epidemic ⋮ Stochastic contagion models without immunity: their long term behaviour and the optimal level of treatment ⋮ On a class of stochastic differential equations with random and Hölder continuous coefficients arising in biological modeling ⋮ On expected durations of birth–death processes, with applications to branching processes and SIS epidemics ⋮ Evolutionary dynamics of infectious diseases in finite populations ⋮ On the quasi-stationary distribution of the stochastic logistic epidemic ⋮ A basic result on the integral for birth-death Markov processes ⋮ A note on quasi-stationary distributions of birth–death processes and the SIS logistic epidemic ⋮ Stochastic and deterministic analysis of SIS household epidemics ⋮ The stochastic SI model with recruitment and deaths. I: Comparison with the closed SIS model ⋮ Large deviations for discrete-time epidemic models ⋮ Quasi-stationary distributions for discrete-state models
This page was built for publication: On the Extinction of theS–I–Sstochastic logistic epidemic