Modeling a SI epidemic with stochastic transmission: hyperbolic incidence rate

DOI10.1007/s00285-017-1162-1zbMath1392.92098OpenAlexW2741550049WikidataQ40115951 ScholiaQ40115951MaRDI QIDQ1709405

Eduardo González-Olivares, Maria Angélica Maulén-Yañez, Michel Curé, Alejandra Christen

Publication date: 5 April 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-017-1162-1

zbMATH Keywords

stochastic differential equationsasymptotic behaviourepidemic modelnonlinear incidence ratesstochastic transmission

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Ordinary differential equations and systems with randomness (34F05) Numerical solutions to stochastic differential and integral equations (65C30)

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Cites Work

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• Global dynamics of an SEIS epidemic model with saturation incidence and latent period
• Study of an S-I epidemic model with nonlinear incidence rate: Discrete and stochastic version
• Stability analysis of an epidemic model with diffusion and stochastic perturbation
• Analysis of an improved epidemic model with stochastic disease transmission
• Analysis of SIR epidemic models with nonlinear incidence rate and treatment
• The asymptotic behaviours of an epidemic model with two correlated stochastic perturbations
• The complete parameters analysis of the asymptotic behaviour of a logistic epidemic model with two stochastic perturbations
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Numerical solution of SDE through computer experiments. Including floppy disk
• Population size dependent incidence in models for diseases without immunity
• Dynamics analysis of a stochastic SIR epidemic model
• Dynamics of a stochastic SIS epidemic model with saturated incidence
• Dynamics of a stochastic SIR epidemic model with saturated incidence
• The asymptotic behaviour of a logistic epidemic model with stochastic disease transmission
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Asymptotic behavior and stability of a stochastic model for AIDS transmission
• Global analysis of an epidemic model with nonmonotone incidence rate
• Consequences of double Allee effect on the number of limit cycles in a predator-prey model
• The Mathematics of Infectious Diseases
• A Stochastic Differential Equation SIS Epidemic Model
• An introduction to continuous-time stochastic processes. Theory, models, and applications to finance, biology, and medicine.