A Predator--2 Prey Fast--Slow Dynamical System for Rapid Predator Evolution
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Publication:2960073
DOI10.1137/16M1068426zbMath1382.37101arXiv1603.09076OpenAlexW2330792991WikidataQ112782980 ScholiaQ112782980MaRDI QIDQ2960073
Sofia H. Piltz, Philip K. Maini, Frits Veerman, Mason A. Porter
Publication date: 7 February 2017
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.09076
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Cites Work
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- Multiple time scale dynamics
- Adaptive evolution of attack ability promotes the evolutionary branching of predator species
- Mathematical foundations of neuroscience
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Geometric singular perturbation theory for ordinary differential equations
- Mathematical biology. Vol. 1: An introduction.
- Inferring parameters of prey switching in a 1 predator-2 prey plankton system with a linear preference tradeoff
- Optimal foraging and predator-prey dynamics
- Multiple scale and singular perturbation methods
- A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamics
- Geometric singular perturbation theory in biological practice
- Piecewise-smooth dynamical systems. Theory and applications
- Effects of rapid prey evolution on predator-prey cycles
- A generalized functional response for predators that switch between multiple prey species
- Extending slow manifolds near transcritical and pitchfork singularities
- Prey Switching with a Linear Preference Trade-Off
- Exchange of Stabilities in Autonomous Systems
- Exchange of Stabilities in Autonomous Systems-II. Vertical Bifurcation
- Boundary-equilibrium bifurcations in piecewise-smooth slow-fast systems
- The entry-exit function and geometric singular perturbation theory
