SARS检疫隔离控制问题研究I

In the absence of valid medicines or vaccine,quarantine and isolation strategies are the most important andeffective measures against the epidemics such as SARS (Severe AcuteRespiratory Syndrome). In this paper, the stability analysis of thedisease-free equilibrium for both Single area and Multi-area SEQIJRSARS transmission model with the quarantine and isolation controlwere addressed respectively. For the single area transmission model,the stability condition of the disease-free equilibrium were givenand reveal that when the levels of hygiene precautions duringisolation ξJ are very high, neither the quarantine ofasymptomatic individuals nor the isolation of symptomaticindividuals can control the epidemic separately, and the thresholdvalue of the ξJ were given correspondingly. For the Multi-areatransmission model, the influence of the inter-area population flowto SARS control were mainly considered.