Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 32, Issue -, Pages 136-158Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2016.04.009
Keywords
Incomplete vaccination; Age-dependent vaccination and latency; SVEIR model; Media-induced nonlinear incidence; Global stability; Lyapunov function
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Funding
- National Natural Science Foundation of China [11261017, 11371048]
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Some studies show that the efficacy of vaccines may decline and the vaccine-induced immunity wanes with time elapsed since vaccination (e.g., BOG, HBV vaccines). Meanwhile, the use of media can effectively contain the emerging epidemics. In our work, an SVEIR epidemic model with media impact, age-dependent vaccination and latency is proposed, where the efficacy of vaccines depends on the time since vaccination. Uniform persistence and the sharp threshold dynamics are established, that is, the vaccination reproduction number completely determines the global dynamics of the model system. Our main results established can be extended to the SVEIR model with the general nonlinear infectious force function of monotonicity and concavity. (C) 2016 Elsevier Ltd. All rights reserved.
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