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系统科学与数学 1995
A CONTROLLED AGE-STRUCTURED POPULATION MODEL FOR THE SPREAD OF UNIVERSALLY FATAL DISEASES
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Abstract:
We develop, on the basis of work of Brauer J. Math. Boil. 28(1990), 451-462], a controlled age-structured population model for the spread of universally fatal deseases which is a group of partial equations with nonlocal boundary conditions. The existence and uniqueness of solution and the differential existence of nonnegative epidemic equibrium state are proved. Finally, we establish the stability and the convergent results for the equilibrium state.