Selection in a cellstat culture of two mutant strains of a bacteriophage under periodically fluctuating temperature was analyzed mathematically and numerically. Each of the two viral strains (P1 and P2) was assumed to have a different Arrhenius activation energy for its reproduction reaction. A phas
Frequency-dependent selection in a periodic environment
โ Scribed by Robert Forster; Claus O. Wilke
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 384 KB
- Volume
- 381
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
โฆ Synopsis
We examine the action of natural selection in a periodically changing environment where two competing strains are specialists respectively for each environmental state. When the relative fitness of the strains is subject to a very general class of frequency-dependent selection, we show that coexistence rather than extinction is the likely outcome. This coexistence may be a stable periodic equilibrium, stable limit cycles of varying lengths, or be deterministically chaotic. Our model is applicable to the population dynamics commonly found in many types of viruses.
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