Modelling and analysis of an epidemic model with awareness caused by deaths due to fear
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Updated: May 30, 2025

Modeling The Lifecycle Of Ebola Virus Under Biosafety Level 2 Conditions With Virus-like Particles Containing Tetracistronic Minigenomes
Published on: September 27, 2014
Ling Xue1, Junqi Huo1, Yuxin Zhang1
1College of Mathematical Sciences, Harbin Engineering University, Harbin, Heilongjiang, People's Republic of China.
Abstract:
In this paper, we establish a compartmental model in which the transmission rate is associated with the fear of being infected by COVID-19. We provide a detailed analysis of the epidemic model and established results for the existence of a positively invariant set. The expression of the basic reproduction number is characterized. It is shown that the disease-free equilibrium (DFE) is globally asymptotically stable if , and the system exhibits a forward bifurcation if . When , the system is uniformly persistent, the DFE is unstable and there exists a unique and globally asymptotic stable endemic equilibrium (EE). We fit unknown parameters using the reported data in Canada from September 1 to October 10, 2021, and carry out sensitivity analysis. The quantitative analysis of the model with awareness demonstrates the significance of reducing the transmission rate and enhancing public protective awareness.
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