An Epidemic Model With Saturated Media/Psychological Impact

LIU Yu-ying; XIAO Yan-ni

doi:10.3879/j.issn.1000-0887.2013.04.008

Volume 34 Issue 4

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LIU Yu-ying, XIAO Yan-ni. An Epidemic Model With Saturated Media/Psychological Impact[J]. Applied Mathematics and Mechanics, 2013, 34(4): 399-407. doi: 10.3879/j.issn.1000-0887.2013.04.008

Citation:

LIU Yu-ying, XIAO Yan-ni. An Epidemic Model With Saturated Media/Psychological Impact[J]. Applied Mathematics and Mechanics, 2013, 34(4): 399-407. doi: 10.3879/j.issn.1000-0887.2013.04.008

Citation:

LIU Yu-ying, XIAO Yan-ni. An Epidemic Model With Saturated Media/Psychological Impact[J]. Applied Mathematics and Mechanics, 2013, 34(4): 399-407. doi: 10.3879/j.issn.1000-0887.2013.04.008

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An Epidemic Model With Saturated Media/Psychological Impact

doi: 10.3879/j.issn.1000-0887.2013.04.008

Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, P.R.China

Received Date: 2013-03-10
Rev Recd Date: 2013-04-03
Publish Date: 2013-04-15

Abstract

Abstract

Media has important influence on incidence rate of infectious disease. An epidemic model with segmented incidence rate was formulated and analyzed to describe the saturated media/psychology impact. Firstly all possible regular/virtual equilibria of the system was found out, and the local stability of the equilibria was analyzed in terms of the basic reproduction number. The global asymptotic stability of the positive equilibriums could then be obtained by excluding the existence of limit cycle for the system. The effect of saturated media/psychology impact on dynamics was discussed.
- media coverage,
- epidemic model,
- piecewise smooth,
- global stability

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References(15)

References

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