Competitive coexistence in a seasonally fluctuating environment. II: Multiple stable states and invasion success

DOI10.1006/tpbi.1993.1033zbMath0791.92024OpenAlexW2038179816WikidataQ110630217 ScholiaQ110630217MaRDI QIDQ1320358

Toshiyuki Namba, Satoshi Takahashi

Publication date: 11 July 1994

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

Full work available at URL: https://doi.org/10.1006/tpbi.1993.1033

zbMATH Keywords

invasioncompetitive exclusionLotka-Volterra competition systemseasonal environmentasymmetric caseboundary solutionsymmetric caseperiodically varying coefficientscoexistence of two competing speciespair of stable coexistent periodic solutionsseasonal environmental variationtriple stable periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ecology (92D40) Stability theory for ordinary differential equations (34D99)

Related Items (10)

Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment ⋮ LOTKA–VOLTERRA TWO-SPECIES SYSTEM WITH PERIODIC INTERRUPTION OF COMPETITION ⋮ A Lotka-Volterra competition model with seasonal succession ⋮ Competitive coexistence of seasonal breeders ⋮ Effect of resource subsidies on predator–prey population dynamics: a mathematical model ⋮ Some Discrete Competition Models and the Competitive Exclusion Principle^† ⋮ The evolution of periodic population systems under random environments ⋮ Temporally Interruptive Interaction Allows Mutual Invasion of Two Competing Species Dispersing in Space ⋮ Modeling Sympatric Speciation in Quasiperiodic Environments ⋮ Spatial heterogeneity of mortality and temporal fluctuation in fertility promote coexistence but not vice versa: a random-community approach

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