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- W4285193405 abstract "<abstract> In this paper we analyze an ODE model for oncolytic dynamics of exponential growth of tumor cells with slow-spread of virus, which was modeled by Komarova and Wodarz but not discussed yet. The involved four parameters render finding equilibria to be a difficult problem of algebraic varieties. We discuss resultants of polynomials to give complete conditions for distribution and qualitative properties of equilibria. We prove that the degenerate equilibrium is either a saddle-node or a cusp, which is of codimension infinity. Moreover, we prove that the equilibrium of center type is either a rough center or a weak center of order 1. Furthermore, analyzing equilibria at infinity, showing existence of a homoclinic orbit and giving nonexistence of limit cycles, we exhibit global phase portraits, which suggest strategies of tumor control. </abstract>" @default.
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- W4285193405 date "2022-01-01" @default.
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- W4285193405 title "USE SLOW-SPREAD OF ONCOLYTIC VIRUS TO DEPRESS EXPONENTIAL GROWTH OF TUMOR CELLS" @default.
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- W4285193405 doi "https://doi.org/10.11948/20220168" @default.
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