Threshold dynamics of a bat-borne rabies model with periodic incubation periods

Feng Bin Wang; Ruiwen Wu; Xiao Yu

doi:10.1016/j.nonrwa.2021.103340

Threshold dynamics of a bat-borne rabies model with periodic incubation periods

Feng Bin Wang
, Ruiwen Wu^*
, Xiao Yu

^*Corresponding author for this work

Center for General Education

Research output: Contribution to journal › Journal Article › peer-review

2 Scopus citations

Abstract

Bat-borne rabies is a viral infection caused by lyssaviruses. To explore the complex interaction between bats and cattle, we develop a periodic compartment system with seasonality, temperature-dependent incubation period and different control measures. We derive the basic reproduction number R₀ and show it determines the global dynamics. In particular, we prove the non-existence of positive periodic solutions in the critical case where R₀=1. Numerically, we observe that sufficient long time-varying incubation periods could potentially increase the disease outbreak risk.

Original language	English
Article number	103340
Journal	Nonlinear Analysis: Real World Applications
Volume	61
DOIs	https://doi.org/10.1016/j.nonrwa.2021.103340
State	Published - 10 2021

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Ltd

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Basic reproduction number
Bat-borne rabies
Periodic delays
Seasonality
Threshold dynamics

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10.1016/j.nonrwa.2021.103340

Cite this

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title = "Threshold dynamics of a bat-borne rabies model with periodic incubation periods",

abstract = "Bat-borne rabies is a viral infection caused by lyssaviruses. To explore the complex interaction between bats and cattle, we develop a periodic compartment system with seasonality, temperature-dependent incubation period and different control measures. We derive the basic reproduction number R0 and show it determines the global dynamics. In particular, we prove the non-existence of positive periodic solutions in the critical case where R0=1. Numerically, we observe that sufficient long time-varying incubation periods could potentially increase the disease outbreak risk.",

keywords = "Basic reproduction number, Bat-borne rabies, Periodic delays, Seasonality, Threshold dynamics",

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AU - Wang, Feng Bin

AU - Wu, Ruiwen

AU - Yu, Xiao

PY - 2021/10

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N2 - Bat-borne rabies is a viral infection caused by lyssaviruses. To explore the complex interaction between bats and cattle, we develop a periodic compartment system with seasonality, temperature-dependent incubation period and different control measures. We derive the basic reproduction number R0 and show it determines the global dynamics. In particular, we prove the non-existence of positive periodic solutions in the critical case where R0=1. Numerically, we observe that sufficient long time-varying incubation periods could potentially increase the disease outbreak risk.

AB - Bat-borne rabies is a viral infection caused by lyssaviruses. To explore the complex interaction between bats and cattle, we develop a periodic compartment system with seasonality, temperature-dependent incubation period and different control measures. We derive the basic reproduction number R0 and show it determines the global dynamics. In particular, we prove the non-existence of positive periodic solutions in the critical case where R0=1. Numerically, we observe that sufficient long time-varying incubation periods could potentially increase the disease outbreak risk.

KW - Basic reproduction number

KW - Bat-borne rabies

KW - Periodic delays

KW - Seasonality

KW - Threshold dynamics

UR - https://www.scopus.com/pages/publications/85105591620

U2 - 10.1016/j.nonrwa.2021.103340

DO - 10.1016/j.nonrwa.2021.103340

M3 - 文章

AN - SCOPUS:85105591620

SN - 1468-1218

VL - 61

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

M1 - 103340

ER -

Threshold dynamics of a bat-borne rabies model with periodic incubation periods

Abstract

Bibliographical note

UN SDGs

Keywords

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