The asymptotic behaviours of an epidemic model with two correlated stochastic perturbations

DOI10.1016/j.amc.2012.03.105zbMath1250.92038OpenAlexW1971360557MaRDI QIDQ450279

Meng Liu, Ke Wang, Guixin Hu

Publication date: 13 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.03.105

zbMATH Keywords

correlation coefficientsSI modelinfected proportioninvariant probability function

Mathematics Subject Classification ID

Epidemiology (92D30) Measures of association (correlation, canonical correlation, etc.) (62H20) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

A stochastic differential equation SIS epidemic model with two independent Brownian motions ⋮ Can protection zone potentially strengthen protective effects in random environments? ⋮ Dynamic for a stochastic multi-group AIDS model with saturated incidence rate ⋮ Modeling a SI epidemic with stochastic transmission: hyperbolic incidence rate ⋮ The stability of SI epidemic model in complex networks with stochastic perturbation ⋮ Asymptotic properties of switching diffusion epidemic model with varying population size ⋮ A stochastic differential equation SIS epidemic model with two correlated Brownian motions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The complete parameters analysis of the asymptotic behaviour of a logistic epidemic model with two stochastic perturbations
• The asymptotic behaviour of a logistic epidemic model with stochastic disease transmission
• Asymptotic behavior and stability of a stochastic model for AIDS transmission
• The stochastic logistic equation: stationary solutions and their stability
• The long time behavior of DI SIR epidemic model with stochastic perturbation
• An SEI model with density-dependent demographics and epidemiology
• Stochastic Differential Equations with Markovian Switching