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Sebastian Schreiber (UC Davis): Towards a general theory of coexistence: Lyapunov exponents, auxiliary variables, and Hofbauer’s criterion

9 November 2020 @ 9:00 - 10:00 PST

Warning: this is a Monday!

Abstract: In the 1980s, Josef Hofbauer introduced a criterion for mathematically verifying coexistence using per-capita growth rates of species when rare i.e. Lyapunov exponents. This criterion ensures coexistence is robust to large perturbations of the community state (i.e. permanence) and small structural perturbations of the governing equations (i.e. robust permanence). Originally developed for deterministic models without population structure, Hofbauer’s criterion has been extended in the past decade to models allowing for auxiliary variables and environmental stochasticity. In this talk, I review the key ingredients of this theory and illustrate its use in multi-species models with intransitivities, eco-evolutionary feedbacks, sexual dimorphisms, autocorrelated environmental fluctuations, or spatial structure.

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9 November 2020
9:00 - 10:00 PST
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Watch recorded past seminars on our YouTube channel: