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Global asymptotic stability for a stationary solution of a system of integro-differential equations describing the formation of liver zones. (English) Zbl 0767.45005

The formation of liver zones is modeled by a system of integro- differential equations. It has previously been proved that one particular stationary solution, characterized by a jump discontinuity at the zone boundary, is asymptotically stable with respect to sufficiently small perturbations of a certain type.

In this paper the author proves that this stationary solution is in fact globally asymptotically stable.

Reviewer: S.Anita (Iaşi)
MSC:
45K05Integro-partial differential equations
45M05Asymptotic theory of integral equations
45M10Stability theory of integral equations
92C45Kinetics in biochemical problems
45F05Systems of nonsingular linear integral equations