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Updated: Oct 14, 2025

Modeling The Lifecycle Of Ebola Virus Under Biosafety Level 2 Conditions With Virus-like Particles Containing Tetracistronic Minigenomes
Published on: September 27, 2014
A chain binomial epidemic with asymptomatics motivated by COVID-19 modelling
Claude Lefèvre1, Philippe Picard2, Matthieu Simon3,4
1Département de Mathématique, Université Libre de Bruxelles, Campus Plaine C.P. 210, 1050, Brussels, Belgium. claude.lefevre@ulb.be.
Abstract:
Motivated by modelling epidemics like COVID-19, this paper proposes a generalized chain binomial process which integrates two types of infectives, those with symptoms and those without. Testing of infectives and vaccination of susceptibles are then incorporated as preventive protective measures. Our interest relates to the distribution of the state of the population at the end of infection and to the reproduction number [Formula: see text] with the associated extinction condition. The method uses the construction of a family of martingales and a branching approximation for large populations, respectively. A more general branching process for epidemics is also constructed and studied. Finally, some results obtained are illustrated by numerical examples.
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