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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

© Mathematical Models and Methods in Applied Sciences, 2011, vol. 21, p. 693

World Scientific Publishing

Autor: Calsina i Ballesta, Àngel
Palmada Privat, Josep Ma.
Ripoll i Misse, Jordi
Data: 2011
Resum: 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
Format: application/pdf
ISSN: 0218-2025 (versió paper)
1793-6314 (versió electrònica)
Accés al document: http://hdl.handle.net/10256/8979
Llenguatge: eng
Editor: World Scientific Publishing
Col·lecció: Versió preprint del document publicat a: http://dx.doi.org/10.1142/S0218202511005180
Articles publicats (D-IMA)
És part de: © Mathematical Models and Methods in Applied Sciences, 2011, vol. 21, p. 693
Drets: Tots els drets reservats
Matèria: Equacions diferencials parcials
Differential equations, Partial
Optimització matemàtica
Mathematical optimization
Títol: Optimal latent period in a bacteriophage population model structured by infection-age
Tipus: info:eu-repo/semantics/article
Repositori: DUGiDocs

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