EFFECTS OF THE KILLING RATE ON GLOBAL BIFURCATION IN AN ONCOLYTIC-VIRUS SYSTEM WITH TUMORS | Zendy

Wenshuang Suo | Zendy; Yunfeng Jia | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

EFFECTS OF THE KILLING RATE ON GLOBAL BIFURCATION IN AN ONCOLYTIC-VIRUS SYSTEM WITH TUMORS

Author(s) -

Wenshuang Suo,

Yunfeng Jia

Publication year - 2017

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2017018

Subject(s) - bifurcation , virus , oncolytic virus , nonlinear system , constant (computer programming) , tumor cells , virology , mathematics , control theory (sociology) , biology , cancer research , computer science , physics , artificial intelligence , control (management) , quantum mechanics , programming language

Oncologists and virologist are quite concerned about many kinds of issues related to tumor-virus dynamics in different virus models. Since the virus invasive behavior emerges from combined effects of tumor cell proliferation, migration and cell-microenvironment interactions, it has been recognized as a complex process and usually simulated by nonlinear differential systems. In this paper, a nonlinear differential model for tumor-virus dynamics is investigated mathematically. We first give a priori estimates for positive steadystates and analyze the stability of the positive constant solution. And then, based on these, we mainly discuss effects of the rate of killing infected cells on the bifurcation solution emanating from the positive constant solution by taking the killing rate as the bifurcation parameter.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research