GLOBAL DYNAMICS OF A REACTION AND DIFFUSION MODEL FOR AN HTLV-I INFECTION WITH MITOTIC DIVISION OF ACTIVELY INFECTED CELLS | Zendy

Wei Wang | Zendy; Wanbiao Ma | Zendy

Open Access

GLOBAL DYNAMICS OF A REACTION AND DIFFUSION MODEL FOR AN HTLV-I INFECTION WITH MITOTIC DIVISION OF ACTIVELY INFECTED CELLS

Author(s) -

Wei Wang,

Wanbiao Ma

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 - 10.11948/2017057

Subject(s) - dynamics (music) , domain (mathematical analysis) , reaction–diffusion system , bounded function , mathematics , division (mathematics) , homogeneous , basic reproduction number , mitosis , steady state (chemistry) , mathematical analysis , physics , biology , chemistry , combinatorics , microbiology and biotechnology , population , arithmetic , acoustics , demography , sociology

This paper is concerned with the global dynamics of a reaction and diffusion model for an HTLV-I infection with mitotic division of actively infected cells and CTL immune response. The well posedness of the proposed model is investigated. In the case of a bounded spatial domain, we establish the threshold dynamics in terms of the basic reproduction number R0 for the spatially heterogeneous model. Also, by means of different Lyapunov functions, the global asymptotic properties of the steady states for the spatially homogeneous model are studied. In the case of an unbounded spatial domain, there are no travelling wave solutions connecting the infection-free steady state with itself when R0 < 1. Finally, numerical simulations and conclusions are given.

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