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通过假设同一地区内易感者和染病者具有相同的迁移率系数,建立了一类两地区间种群迁移的SIS传染病模型,得到了地方病平衡点存在的阈值条件,并借助比较定理和极限系统理论证明了无病平衡点和疾病不导致死亡时地方病平衡点的全局稳定性,最后讨论了种群迁移对传染病传播的影响.
By assuming that the susceptible and the infected patients in the same area have the same mobility coefficient, a type of SIS epidemic model of population migration between the two regions has been established and the threshold conditions for the existence of endemic disease equilibrium have been obtained. By means of comparison theorem and limit system The theory proves the global stability of the balance of endemic diseases when disease-free equilibrium and disease do not cause death, and finally discusses the impact of population migration on the spread of infectious diseases.