English

Coevolution Maintains Diversity in the Stochastic "Kill the Winner" Model

Biological Physics 2018-01-03 v1 Physics and Society Populations and Evolution

Abstract

The "Kill the Winner" hypothesis is an attempt to address the problem of diversity in biology. It argues that host-specific predators control the population of each prey, preventing a winner from emerging and thus maintaining the coexistence of all species in the system. We develop a stochastic model for the "Kill the Winner" paradigm and show that the stable coexistence state of the deterministic "Kill the Winner" model is destroyed by demographic stochasticity, through a cascade of extinction events. We formulate an individual-level stochastic model in which predator-prey coevolution promotes high diversity of the ecosystem by generating a persistent population flux of species.

Keywords

Cite

@article{arxiv.1706.02666,
  title  = {Coevolution Maintains Diversity in the Stochastic "Kill the Winner" Model},
  author = {Chi Xue and Nigel Goldenfeld},
  journal= {arXiv preprint arXiv:1706.02666},
  year   = {2018}
}
R2 v1 2026-06-22T20:13:12.863Z