Ontology type: schema:ScholarlyArticle
2021-10-23
AUTHORSWenjuan Guo, Qimin Zhang, Xining Li, Ming Ye
ABSTRACTThis paper investigates the finite-time stability and optimal impulsive control for stochastic age-structured HIV model with time-varying delay. A stochastic noise is introduced by using the Lévy process to characterize the phenomenon of discontinuous jumps in virus transmission, which cannot be described by a continuous stochastic process (e.g., Brownian motion). By employing the comparison theorem and the bounded impulsive interval method, we obtain the sufficient conditions of finite-time stability for a stochastic HIV system. The effects of impulse, delay and Lévy noise on the finite-time stability are considered in our sufficient conditions. Furthermore, optimal impulsive control is studied to seek the optimal and cost-effective strategy for HIV treatments, which shows that control strategies play an important role in HIV virus transmissions. Numerical simulations are performed to illustrate the validity of our results. More... »
PAGES3669-3696
http://scigraph.springernature.com/pub.10.1007/s11071-021-06974-3
DOIhttp://dx.doi.org/10.1007/s11071-021-06974-3
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