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