Journal
APPLICABLE ANALYSIS
Volume 97, Issue 14, Pages 2431-2449Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2017.1376246
Keywords
Viral model; diffusion; global attractivity
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Funding
- National Natural Science Foundation of China [11371111]
- Research Fund for the Program of Heilongjiang Bayi Agricultural University [XZR2015-13]
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This paper aims to investigate the global behaviours of a diffusive viral model with spatial heterogeneity on the general bounded domain and general incidence function. On the basis of the theory of uniform persistence, we obtain the system is uniformly persistent under appropriate conditions. By constructing Lyapunov functions and using LaSalle invariance principle for PDEs, we obtain that the global behaviours is completely determined by the value of the basic reproduction number for viral infection R-0 in the special case. Some numerical simulations are carried out to illustrate the analytical predictions.
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