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 |
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Article number | 103340 |
Journal | Nonlinear Analysis: Real World Applications |
Volume | 61 |
DOIs | |
State | Published - 10 2021 |
Bibliographical note
Publisher Copyright:© 2021 Elsevier Ltd
Keywords
- Basic reproduction number
- Bat-borne rabies
- Periodic delays
- Seasonality
- Threshold dynamics