| Brain glioblastoma has always been one of the severe diseases seriously threat-ening human's health,and at the same time,the model of oncolytic virus therapy has been a hotspot in research of mathematical biology.This article is based on the Zika virus specifically infecting and lysing glioblastoma stem cells,and has no effect on normal nerve cells.We develop a mathematical model on the basis of normal cells and brain tumor cells competiting nutrient,adding Zika virus to clear brain tumor cells,and then the dynamical behavior of the system is analyzed.In the second chapter,an ordinary differential model is studied.We discuss the existence condition of equilibrium point and analyze the stability of equilibrium point,and when the brain cancer cells are finally extinct,Zika virus treatment has the best effect in brain cancer,and the the minimum effective drug dose B is given.Finally,the theoretical result is verified by mathematical software MATLAB simulation.In the third chapter,a discrete model is studied.The growth of normal cell-s and tumor cells competing for nutrient solution in different environments is obtained by analyzing the sub-modeland and then the complex model of Zika virus oncolytic therapy model is analyzed.When the thresholds R1 and R2 satisfy R2>R1>1 and R2<R1+r1u3BA/d1d2d3d4,the stability of tumor extinction equilibrium point is globally asymptotically stable.To achieve the best effect of tumor lysis,tumor cells will be extinct,and normal cells will tend to normal level.Finally,minimum dose of ideal therapy B0is given. |
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