Direct competition results from strong competition for limited resource

DOI10.1007/s00285-013-0659-5zbMath1293.35346arXiv1201.5826OpenAlexW1997280802WikidataQ51252159 ScholiaQ51252159MaRDI QIDQ2250026

Joe Yuichiro Wakano, Sepideh Mirrahimi, Perthame, Benoît

Publication date: 4 July 2014

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5826

zbMATH Keywords

Lyapunov functionalmultiscale analysisadaptive dynamicsecological competition for resourcedirect competition

Mathematics Subject Classification ID

Problems related to evolution (92D15) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Multiple scale methods for ordinary differential equations (34E13) Integro-differential operators (47G20)

Related Items (11)

Gaussian approximations for chemostat models in finite and infinite dimensions ⋮ An unconditionally positivity-preserving implicit-explicit scheme for evolutionary stable distribution model ⋮ On a non-local selection–mutation model with a gradient flow structure ⋮ Coupling-induced oscillations in two intrinsically quiescent populations ⋮ Adaptation in a stochastic multi-resources chemostat model ⋮ Weak convergence of a mass-structured individual-based model ⋮ Linearization of solution operators for state-dependent delay equations: a simple example ⋮ Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model ⋮ Awakened oscillations in coupled consumer-resource pairs ⋮ Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions ⋮ Time-asymptotic convergence rates towards the discrete evolutionary stable distribution

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