摘要
The global dynamics of an SVEIR epidemic model with age-dependent waning immu- nity, latency and relapse are studied. Sharp threshold properties for global asymptotic stability of both disease-free equilibrium and endemic equilibrium are given. The asymptotic smoothness, uniform persistence and the existence of interior global attractor of the semi-flow generated by a family of solutions of the system are also addressed. Furthermore, some related strategies for controlling the spread of diseases are discussed.
基金
X. Liu is supported by the National Natural Science Foundation of China （11271303）. L. Liu is supported by the National Natural Science Foundation of China （11601293） and Chongqing Graduate Student Research Innovation Project （CYB14053）. We are grateful to the editors and two anonymous referees for their valuable comments and suggestions that led to an improvement of our manuscript.
