Impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamics

Jianquan Li; Xiaoqin Wang; Xiaolin Lin; Jianquan Li; Xiaoqin Wang; Xiaolin Lin

doi:10.3934/mbe.2018065

Mathematical Biosciences and Engineering

2018, Volume 15, Issue 6: 1425-1434. doi: 10.3934/mbe.2018065

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Impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamics

School of Arts and Sciences, Shaanxi University of Science and Technology, Xi'an, Shaanxi 710021, China

Received: 14 January 2018 Accepted: 11 June 2018 Published: 01 December 2018
MSC : Primary: 92D30, 34C37; Secondary: 37G35

The epidemic characteristics of an epidemic model with behavioral change in [V. Capasso, G. Serio, A generalizaition of the Kermack-McKendrick deterministic epidemic model, Math. Bios., 42 (1978), 43-61] are investigated, including the epidemic size, peak and turning point. The conditions on the appearance of the peak state and turning point are represented clearly, and the expressions determining the corresponding time for the peak state and turning point are described explicitly. Moreover, the impact of behavioral change on the characteristics is discussed.
- Epidemic models,
- epidemic final size,
- peak,
- turning point,
- inhibition parameter
Citation: Jianquan Li, Xiaoqin Wang, Xiaolin Lin. Impact of behavioral change on the epidemic characteristics of an epidemic model without vital dynamics[J]. Mathematical Biosciences and Engineering, 2018, 15(6): 1425-1434. doi: 10.3934/mbe.2018065

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Abstract

The epidemic characteristics of an epidemic model with behavioral change in [V. Capasso, G. Serio, A generalizaition of the Kermack-McKendrick deterministic epidemic model, Math. Bios., 42 (1978), 43-61] are investigated, including the epidemic size, peak and turning point. The conditions on the appearance of the peak state and turning point are represented clearly, and the expressions determining the corresponding time for the peak state and turning point are described explicitly. Moreover, the impact of behavioral change on the characteristics is discussed.

References

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