Stability in \(\mathcal N\)-species coevolutionary systems

DOI10.1016/S0040-5809(03)00101-1zbMath1109.92030WikidataQ52007744 ScholiaQ52007744MaRDI QIDQ851328

Ross Cressman, József Garay

Publication date: 20 November 2006

Published in: Theoretical Population Biology (Search for Journal in Brave)

zbMATH Keywords

Evolutionary stabilityEcological stabilitylocally asymptotically stable equilibriummonomorphic modelPhenotypic evolutionpolymorphic modelStationary density surface

Mathematics Subject Classification ID

Problems related to evolution (92D15) Other game-theoretic models (91A40) Ecology (92D40)

Related Items (16)

Weak selection and the separation of eco-evo time scales using perturbation analysis ⋮ Evolutionary substitution and replacement in \(N\)-species Lotka-Volterra systems ⋮ A predator-prey refuge system: evolutionary stability in ecological systems ⋮ A temporal model of territorial defence with antagonistic interactions ⋮ Biodiversity in the cyclic competition system of three species according to the emergence of mutant species ⋮ Ecological theatre and the evolutionary game: how environmental and demographic factors determine payoffs in evolutionary games ⋮ Coevolutionary stability of host-symbiont systems with mixed-mode transmission ⋮ Observer design for phenotypic observation of genetic processes ⋮ The nest site lottery: how selectively neutral density dependent growth suppression induces frequency dependent selection ⋮ Towards a replicator dynamics model of age structured populations ⋮ Uninvadability in \(N\)-species frequency models for resident\,-\,mutant systems with discrete or continuous time ⋮ Dynamic multipopulation and density dependent evolutionary games related to replicator dynamics. a metasimplex concept ⋮ Density games ⋮ Replicator dynamics for the game theoretic selection models based on state ⋮ Measure dynamics on a one-dimensional continuous trait space: theoretical foundations for adaptive dynamics ⋮ Stability of the replicator equation with continuous strategy space

Cites Work

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• Applications of centre manifold theory
• Evolutionary stability in one-parameter models under weak selection
• Frequency-dependent stability for two-species interactions
• On the changing concept of evolutionary population stability as a reflection of a changing point of view in the quantitative theory of evolution
• Evolutionary dynamics of predator-prey systems: An ecological perspective
• The dynamical theory of coevolution: A derivation from stochastic ecological processes
• Evolutionary stability in Lotka-Volterra systems
• Evolutionary Games and Population Dynamics

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