Threshold dynamics of a bat-borne rabies model with periodic incubation periods. (October 2021)

• Record Type: Journal Article
• Authors: Wang, Feng-Bin; Wu, Ruiwen; Yu, Xiao
• Is Part Of: Nonlinear analysis. Volume 61(2021)
• Publication Date: 2021-10
• Subjects: Bat-borne rabies -- Seasonality -- Periodic delays -- Basic reproduction number -- Threshold dynamics; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2021.103340
• Languages: English
• ISSNs: 1468-1218

Abstract

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 R 0 and show it determines the global dynamics. In particular, we prove the non-existence of positive periodic solutions in the critical case where R 0 = 1 . Numerically, we observe that sufficient long time-varying incubation periods could potentially increase the disease outbreak risk.