Abstract:
A delayed stage-structured single-species model with disease in infancy and vaccination is investigated. Using limit system theorem and constructing Liapunov function, the sufficient conditions for the global asymptotically stability of the positive equilibrium point and the infection-free equilibrium point are obtained.The results show that in the certain immunization coverage rate, the disease will eventually become extinct when the birth rate of the species is located in an interval,and when the birth rate is large than a threshold, the disease will eventually become an endemic.
