Asymptotic Behavior for a Competitive Model with Genetic Variation

DOI10.1137/0149108zbMath0684.92019OpenAlexW2061799003MaRDI QIDQ4735070

James F. Selgrade, Eduardo Muñoz

Publication date: 1989

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0149108

zbMATH Keywords

equilibriumcenter manifoldstable coexistencemutual exclusiongenetic variationallele frequencyLotka-Volterra competitionper capita growth rateexistence of heteroclinic orbitstwo competing populationsthree-dimensional system of autonomous ordinary differential equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Ecology (92D40) Genetics and epigenetics (92D10) Asymptotic properties of solutions to ordinary differential equations (34D05) Dynamical systems and ergodic theory (37-XX)

Related Items (4)

Multiple cyclic sets connecting saddle points and limit cycles of a four- species system and its uniform persistence ⋮ Dynamical behavior of a competitive model with genetic variation ⋮ Limits of heteroclinic orbits in a competitive model with genetic variation ⋮ Results on asymptotic behaviour for discrete, two-patch metapopulations with density-dependent selection

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