Open AccessExistence and uniqueness of the solution to granuloma model in visceral leishmaniasi
Author(s) -
Chunyan Liu,
Xuemei Wei
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1911561l
Subject(s) - uniqueness , mathematics , fixed point theorem , extension (predicate logic) , mathematical analysis , picard–lindelöf theorem , uniqueness theorem for poisson's equation , banach fixed point theorem , computer science , programming language
In this paper we study a granuloma model in visceral leishmaniasis, which contains eleven coupled reaction diffusion equations. The existence and uniqueness of the model in the local solution is proved by using the Banach Fixed Point Theorem and theory of parabolic equation. Then, the existence and uniqueness of the global solution are obtained by using the extension method.