TY - JOUR
T1 - Noise-Induced Transitions for an SIV Epidemic Model with Medical-Resource Constraints
AU - Yu , Ran
AU - Yang , Anji
AU - Yuan , Sanling
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 371
EP - 391
PY - 2022
DA - 2022/06
SN - 4
DO - http://doi.org/10.12150/jnma.2022.371
UR - https://global-sci.org/intro/article_detail/jnma/20713.html
KW - Epidemic model, Medical-resource constraints, Noise-induced transitions, Stochastic sensitivity, Confidence domain.
AB - <p style="text-align: justify;">We consider a stochastically forced epidemic model with medical-resource constraints. In the deterministic case, the model can exhibit two
type bistability phenomena, i.e., bistability between an endemic equilibrium
or an interior limit cycle and the disease-free equilibrium, which means that
whether the disease can persist in the population is sensitive to the initial
values of the model. In the stochastic case, the phenomena of noise-induced
state transitions between two stochastic attractors occur. Namely, under the
random disturbances, the stochastic trajectory near the endemic equilibrium
or the interior limit cycle will approach to the disease-free equilibrium. Besides,
based on the stochastic sensitivity function method, we analyze the dispersion
of random states in stochastic attractors and construct the confidence domains
(confidence ellipse or confidence band) to estimate the threshold value of the
intensity for noise caused transition from the endemic to disease eradication.</p>