期刊论文详细信息
Mathematical Biosciences and Engineering
On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model
Hong Xiang1  Fan Wu1  Hai-Feng Huo1 
[1] Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu, 730050, China;
关键词: impulsive models;    time delay;    basic reproduction ratio;    swine parasitic disease;    threshold dynamics;   
DOI  :  10.3934/mbe.2022038
来源: DOAJ
【 摘 要 】

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.

【 授权许可】

Unknown   

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