In this paper,SIR model with feedback control has been considered.By constructing the Lyapunov function,using the Routh-Hurwitz criterion and the positive definite quadratic form theory,some suficient conditions have ...In this paper,SIR model with feedback control has been considered.By constructing the Lyapunov function,using the Routh-Hurwitz criterion and the positive definite quadratic form theory,some suficient conditions have been obtained,and some wellknown results have been generalized.It is worth mentioning that if the feedback control variables have an inhibitory effect on the susceptible population and the infected population,the number of basic regeneration of the disease will be reduced.The reduction depends only on the control of the susceptible population,but not on the control of the infected population.This is a very interesting conclusion.展开更多
基金supported by NSF of China(11201213 and 11371183)NSF of Shandong Province(ZR2015AM026 and ZR2013AM004)the Project of Shandong Provincial Higher Educational Science and Technology(J15LI07).
文摘In this paper,SIR model with feedback control has been considered.By constructing the Lyapunov function,using the Routh-Hurwitz criterion and the positive definite quadratic form theory,some suficient conditions have been obtained,and some wellknown results have been generalized.It is worth mentioning that if the feedback control variables have an inhibitory effect on the susceptible population and the infected population,the number of basic regeneration of the disease will be reduced.The reduction depends only on the control of the susceptible population,but not on the control of the infected population.This is a very interesting conclusion.
