The Asymptotic Behavior of a Delayed Stage-structured Model with a Disease in the Infant

摘要

In this paper,a delayed stage-structured single-species model with a disease in the infant is studied.By using the comparison principle in differential equations,we get the sufficient conditions for the global stability of the trivial equilibrium and boundary equilibrium.By constructing Liapunov function,we prove that the endemic equilibrium is not always globally stable and then a semistable limit cycle may exist.