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

Feng Bin Wang, Ruiwen Wu*, Xiao Yu

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

2 Scopus citations


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 languageEnglish
Article number103340
JournalNonlinear Analysis: Real World Applications
StatePublished - 10 2021

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Ltd


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


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