Competitive exclusion in a multi-strain virus model with spatial diffusion and age of infection

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:459

Article

Duan, Xi-Chao^1,2  Yin, Jun-Feng¹  Li, Xue-Zhi³  Martcheva, Maia⁴ 

[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

[2] Shanghai Ocean Univ, Coll Informat Technol, Shanghai 201306, Peoples R China

[3] Anyang Inst Technol, Dept Math & Phys, Anyang 455000, Peoples R China

[4] Univ Florida, Dept Math, 358 Little Hall,POB 118105, Gainesville, FL 32611 USA

关键词: Age of infection;    Multi-strain;    Spatial diffusion;    General incidence function;    Reproduction number;    Competitive exclusion;   

DOI  :  10.1016/j.jmaa.2017.10.074

来源: Elsevier

【 摘 要 】

In this paper, a multi-strain virus dynamic model with spatial diffusion, age of infection and general incidence function is formulated. The well-posedness of the initial-boundary value problem of the model in the bounded domain Omega subset of R-n is analyzed. By constructing a suitable Lyapunov functional, the global stability of the uninfected steady state is established if all reproduction numbers are smaller or equal to one. It is shown that if R-i, the reproduction number corresponding to strain i is larger than one, the steady state corresponding to strain i exists, if R-1 > 1 is the maximal reproduction number, the steady state E-1 corresponding strain one is globally stable. That is, competitive exclusion occurs and strain one eliminates all other strains. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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