Long-time behaviour of a perturbed SIR model by white noise
By Yuguo Lin, Daqing Jiang. 2013
53 citations recorded by the source corpus.
In this paper, we consider a stochastic SIR model with perturbed disease transmission coefficient. We present sufficient conditions for the disease to extinct exponentially. In the case of persistence, we analyze long-time behaviour of densities of the distributions of the solution. We will prove that the densities of the solution can converge in $L^1$ to an invariant density under appropriate conditions. Also we find the support of the invariant density. Specially, when the intensity of white noise is relatively small, we find a new threshold for an epidemic to occur.
Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/21bcf3b4e4a0d87305e69a9564c178c361e030a5
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In Genetics
In Modeling and Simulation
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Environmental variability and mean-reverting processes (2016, background): “, [3, 4, 5, 6, 8, 10, 18, 21, 23]), it is assumed that changes in the environment produce random changes in a population’s per capita birth and death rates that are independent from the changes due to demographic variability.”