Existence and uniqueness of global solution for the treatment model of cancer vaccine and checkpoint inhibitor. (Chinese. English summary) Zbl 1449.35269
Summary: A combined treatment model of cancer vaccine and checkpoint inhibitor, which contains nine coupled reaction diffusion equations, is studied. By using the Banach fixed point theorem and \({L^p}\)-theory of parabolic equation, the existence and uniqueness of the model in the local solution are proved. And then the existence and uniqueness of the global solution are obtained by using the extension method.
MSC:
| 35K57 | Reaction-diffusion equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
| 92C60 | Medical epidemiology |
