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Optimal latent period in a bacteriophage population model structured by infection-age

We study the lysis timing of a bacteriophage population by means of a continuously infection-age-structured population dynamics model. The features of the model are the infection process of bacteria, the death process, and the lysis process which means the replication of bacteriophage viruses inside bacteria and the destruction of them. The time till lysis (or latent period) is assumed to have an arbitrary distribution. We have carried out an optimization procedure, and we have found that the latent period corresponding to maximal fitness (i.e. maximal growth rate of the bacteriophage population) is of fixed length. We also study the dependence of the optimal latent period on the amount of susceptible bacteria and the number of virions released by a single infection. Finally, the evolutionarily stable strategy of the latent period is also determined as a fixed period taking into account that super-infections are not considered

World Scientific Publishing

Author: Calsina i Ballesta, 脌ngel
Palmada Privat, Josep Ma.
Ripoll i Misse, Jordi
Date: 2018 June 5
Abstract: We study the lysis timing of a bacteriophage population by means of a continuously infection-age-structured population dynamics model. The features of the model are the infection process of bacteria, the death process, and the lysis process which means the replication of bacteriophage viruses inside bacteria and the destruction of them. The time till lysis (or latent period) is assumed to have an arbitrary distribution. We have carried out an optimization procedure, and we have found that the latent period corresponding to maximal fitness (i.e. maximal growth rate of the bacteriophage population) is of fixed length. We also study the dependence of the optimal latent period on the amount of susceptible bacteria and the number of virions released by a single infection. Finally, the evolutionarily stable strategy of the latent period is also determined as a fixed period taking into account that super-infections are not considered
Document access: http://hdl.handle.net/2072/320531
Language: eng
Publisher: World Scientific Publishing
Rights: Tots els drets reservats
Subject: Equacions diferencials parcials
Differential equations, Partial
Optimitzaci贸 matem脿tica
Mathematical optimization
Title: Optimal latent period in a bacteriophage population model structured by infection-age
Type: info:eu-repo/semantics/article
Repository: Recercat

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