An Epidemic Model With Dual Delays in View of Media Coverage

LIAO Shu; YANG Wei-ming

doi:10.21656/1000-0887.380025

Volume 38 Issue 12

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LIAO Shu, YANG Wei-ming. An Epidemic Model With Dual Delays in View of Media Coverage[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1412-1424. doi: 10.21656/1000-0887.380025

Citation:

LIAO Shu, YANG Wei-ming. An Epidemic Model With Dual Delays in View of Media Coverage[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1412-1424. doi: 10.21656/1000-0887.380025

Citation:

LIAO Shu, YANG Wei-ming. An Epidemic Model With Dual Delays in View of Media Coverage[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1412-1424. doi: 10.21656/1000-0887.380025

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An Epidemic Model With Dual Delays in View of Media Coverage

doi: 10.21656/1000-0887.380025

College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P.R.China

Funds: The National Natural Science Foundation of China(11401059)

Received Date: 2017-01-19
Rev Recd Date: 2017-04-23
Publish Date: 2017-12-15

Abstract

Abstract

A multi-delay epidemic model in view of media coverage was established and analyzed. By means of the corresponding characteristic equation roots, the stability of the system was studied under 5 different time delay conditions, and the existence of the Hopf bifurcation was discussed. Furthermore, for a basic reproduction number greater than 1, the system’s uniform persistence was proved based on the persistence theory. At last, numerical simulations were conducted to verify the analytical predictions and evaluate the effects of media coverage and time delays on the control of emerging infectious diseases.
- media coverage,
- epidemic model,
- multiple delays,
- stability analysis,
- Hopf bifurcation,
- persistence

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References(20)

References

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