Journal
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
Volume 7, Issue 3, Pages 253-262Publisher
EDP SCIENCES S A
DOI: 10.1051/mmnp/20127315
Keywords
mobility; response; pattern; stability
Categories
Funding
- National Natural Science Foundation of China [11171276]
- Ministry of Education of China [20100182110003]
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Contact behavior plays an important role in influenza transmission. In the progression of influenza spread, human population reduces mobility to decrease infection risks. In this paper, a mathematical model is proposed to include adaptive mobility. It is shown that the mobility response does not affect the basic reproduction number that characterizes the invasion threshold, but reduces dramatically infection peaks, or removes the peaks. Numerical calculations indicate that the mobility response can provide a very good protection to susceptible individuals, and a combination of mobility response and treatment is an effective way to control influenza outbreak.
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