Chaotic provinces in the kingdom of the Red Queen

JOURNAL OF THEORETICAL BIOLOGY

卷:431

Article

Schenk, Hanna¹  Traulsen, Arne¹  Gokhale, Chaitanya S.^1,2 

[1] Max Planck Inst Evolutionary Biol, Dept Evolutionary Theory, August Thienemann Str 2, D-24306 Plon, Germany

[2] Massey Univ, New Zealand Inst Adv Study, North Shore Mail Ctr, Private Bag 102904, Auckland 0745, New Zealand

关键词: Coevolution;    Multiple types;    Mathematical model;    Population size;    Red Queen;    Chaos;   

DOI  :  10.1016/j.jtbi.2017.07.027

来源: Elsevier

【 摘 要 】

The interplay between parasites and their hosts is found in all kinds of species and plays an important role in understanding the principles of evolution and coevolution. Usually, the different genotypes of hosts and parasites oscillate in their abundances. The well-established theory of oscillatory Red Queen dynamics proposes an ongoing change in frequencies of the different types within each species. So far, it is unclear under what conditions Red Queen dynamics persists, especially when the number of types per species increases. Some models show that with many types of hosts and parasites or more species chaotic dynamics occur. In our analysis, an arbitrary number of types within two species are examined in a deterministic framework with constant or changing population size and very simple interactions. This general framework allows for analytical solutions for internal fixed points and their stability. The numerical analysis shows that for two species, once more than two types are considered per species, irregular dynamics in their frequencies can be observed in the long run. The nature of the dynamics depends strongly on the initial configuration of the system; the usual regular Red Queen oscillations are only observed when all types initially have similar abundance. (C) 2017 Elsevier Ltd. All rights reserved.

【 授权许可】

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