Study of an S-I epidemic model with nonlinear incidence rate: Discrete and stochastic version

DOI10.1016/j.amc.2011.07.065zbMath1238.92039OpenAlexW1996510071MaRDI QIDQ425436

J. Herrera, H. S. Yoon

Publication date: 8 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.065

zbMATH Keywords

difference equationItô stochastic differential equationsusceptible-infective model

Mathematics Subject Classification ID

Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Additive difference equations (39A10) Applications of difference equations (39A60)

Related Items (12)

Persistence and extinction for a class of stochastic SIS epidemic models with nonlinear incidence rate ⋮ The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence ⋮ Threshold Behavior in a Class of Stochastic SIRS Epidemic Models With Nonlinear Incidence ⋮ The existence of codimension-two bifurcation in a discrete SIS epidemic model with standard incidence ⋮ Temporally local maximum likelihood with application to SIS model ⋮ Modeling a SI epidemic with stochastic transmission: hyperbolic incidence rate ⋮ Stability analysis of a stochastic delayed SIR epidemic model with general incidence rate ⋮ Stability analysis of a stochastic SIR epidemic model with specific nonlinear incidence rate ⋮ Global stability of positive periodic solutions and almost periodic solutions for a discrete competitive system ⋮ Persistence and stability of a seasonally perturbed three species stochastic model of salmonoid aquaculture ⋮ Effect of discretization on dynamical behavior in an epidemiological model ⋮ Analysis of a stochastic SIR model with vaccination and nonlinear incidence rate

Cites Work

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• Some epidemiological models with nonlinear incidence
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Complex dynamic behaviors of a discrete-time predator-prey system
• Influence of latent period and nonlinear incidence rate on the dynamics of SIRS epidemiological models
• STUDY OF A CARRIER DEPENDENT INFECTIOUS DISEASE — CHOLERA

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