ArticleJournal of mathematical biology2014
Absolute stability and dynamical stabilisation in predator-prey systems.
Article in Journal of mathematical biology, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Revealing new dynamical patterns in a reaction-diffusion model with cyclic competition via a novel computational framework.Proceedings. Mathematical, physical, and engineering sciences · 2018Article
- Tumour chemotherapy strategy based on impulse control theory.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2017Article
- Pattern selection and hysteresis in the Rietkerk model for banded vegetation in semi-arid environments.Journal of the Royal Society, Interface · 2014Article
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Authors and funding
2 authors.
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Abstract
Many ecological systems exhibit multi-year cycles. In such systems, invasions have a complicated spatiotemporal structure. In particular, it is common for unstable steady states to exist as long-term transients behind the invasion front, a phenomenon known as dynamical stabilisation. We combine absolute stability theory and computation to predict how the width of the stabilised region depends on parameter values. We develop our calculations in the context of a model for a cyclic predator-prey system, in which the invasion front and spatiotemporal oscillations of predators and prey are separated by a region in which the coexistence steady state is dynamically stabilised.
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