Dynamic Properties of Tumor Growth Control Models with Impulsive Immunization
In this paper,we establish the differential equation model of controlling tumor growth with impulsive immunization,which is used to describe the effect of instantaneous injection of immune-effector cells in the fixed time interval on tumor growth.Using the comparison theorem of impulsive differential equation and the Floquet multipliers theory,we analyze the dynamic properties of the model,and obtain the boundedness of solutions and the existence conditions of periodic solutions without tumor.Some numerical simulations are performed to support the obtained theoretical results.Finally,we compare the treatment effects between the constant injection and the impulsive injection of immune-effector cells by numerical simulations,which shows that the impulsive injection has advantages in controlling the tumor cells growth.
Tumor growth modelPeriodic solutionImpulsive control
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万方数据
维普
