研究了一类具有脉冲出生及垂直传染的SIS传染病模型的动力学行为,利用离散映射、中心流形定理和分岔定理,得到了超临界分岔和flip分岔发生的条件。数值模拟结果表明,地方病周期解通过超临界分岔从无病周期解中分岔出来,2-周期解通过flip分岔从周期解中分岔出来,验证了理论分析。
A class of SIS epidemic model with vertical transmission and birth pulses is investigated. The conditions for supercritical bifurcation are obtained by using the discrete mapping, the center manifold theorem and bifurcation theorem. Numerical results for phase portraits, periodic solutions and bifurcation diagrams are illustrated with an example, which are in agreement with the theoretical analysis.