一类时滞SIQR传染病模型的稳定性

Abstract

Abstract: We considered a class of delayed SIQR epidemic models with saturated incidence rate. Using the eigenvalue method, and the time delay caused by the cure cycle as the bifurcation parameter, we discussed the local asymptotic stability of the viral equilibrium, gave sufficient conditions for the local asymptotic stability of the viral equilibrium, and determined the delay critical point for the occurrence of a local Hopf bifurcation of the model. Simulation results verified the correctness of the obtained results.

Key words: delay, Hopf bifurcation, SIQR model, stability

CLC Number:

O175.12

LIU Juan, ZHANG Xin. Stability of a Class of Delayed SIQR Epidemic Models[J].Journal of Jilin University Science Edition, 2017, 55(06): 1477-1480.

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Stability of a Class of Delayed SIQR Epidemic Models

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