On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model
Keyword(s):
<abstract><p>The basic reproduction ratio $ \mathcal{R}_{0} $ of more general periodic and time-delayed impulsive model which the period of model coefficients is different from that of fixed impulsive moments, is developed. That $ \mathcal{R}_{0} $ is the threshold parameter for the stability of the zero solution of the associated linear system is also shown. The developed theory is further applied to a swine parasitic disease model with pulse therapy. Threshold results on its global dynamics in terms of $ \mathcal{R}_{0} $ are obtained. Some numerical simulation results are also given to support our main results.</p></abstract>
2016 ◽
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1999 ◽
Vol 122
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