The threshold of a stochastic SIS epidemic model with vaccination
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Publication:280011
DOI10.1016/j.amc.2014.05.124zbMath1335.92108OpenAlexW2039662336MaRDI QIDQ280011
Publication date: 29 April 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.124
Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Medical epidemiology (92C60)
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Cites Work
- The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
- Global stability of two-group SIR model with random perturbation
- An age-structured epidemic model of rotavirus with vaccination
- The extinction and persistence of the stochastic SIS epidemic model with vaccination
- Global analysis of SIS epidemic models with variable total population size
- Environmental Brownian noise suppresses explosions in population dynamics.
- Qualitative analyses of SIS epidemic model with vaccination and varying total population size
- Stability analysis of an SEIQV epidemic model with saturated incidence rate
- Global stability of a delayed epidemic model with latent period and vaccination strategy
- Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
- Dynamics of stochastically perturbed SIS epidemic model with vaccination
- The threshold of a stochastic SIRS epidemic model with saturated incidence
- A susceptible-infected epidemic model with voluntary vaccinations
- Exclusion and persistence in deterministic and stochastic chemostat models
- The long time behavior of DI SIR epidemic model with stochastic perturbation
- An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
- MIXED VACCINATION STRATEGY IN SIRS EPIDEMIC MODEL WITH SEASONAL VARIABILITY ON INFECTION
- A Stochastic Differential Equation SIS Epidemic Model
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