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Order Reduction for a Model of Bacteriophage Evolution

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Extended Abstracts Summer 2016

Part of the book series: Trends in Mathematics ((RPCRMB,volume 10))

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Abstract

Applying the technique of time-scale separation, we reduce a model of marine bacteriophage evolution to a system of two integro-differential equations and demonstrate the equivalence of the original and the reduced systems.

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References

  1. E. Beretta, Y. Kuang, Modeling and analysis of a marine bacteriophage infection. Math. Biosci. 149, 57–76 (1998)

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  2. A. Korobeinikov, A. Archibasov, V. Sobolev, Order reduction for a RNA virus evolution model. Math. Biosci. Eng. 12, 1007–1016 (2015)

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  3. A. Korobeinikov, E. Shchepakina, V. Sobolev, Paradox of enrichment and system order reduction: bacteriophages dynamics as case study. Math. Med. Biol. 33, 359–369 (2016)

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Acknowledgements

Andrei Korobeinikov is supported by the Ministry of Economics of Spain via Ramón y Cajal Fellowship RYC-2011-08061 and grant MTM2015-71509-C2-1-R, by AGAUR via grant 2014SGR-1307 and by CONACYT (México) via grant 219614.

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Correspondence to Silvia Pagliarini .

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Pagliarini, S., Korobeinikov, A. (2018). Order Reduction for a Model of Bacteriophage Evolution. In: Korobeinikov, A. (eds) Extended Abstracts Summer 2016. Trends in Mathematics(), vol 10. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01153-6_10

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