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• W4385514666 abstract "An integrable Hamiltonian variant of the two species Lotka–Volterra (LV) predator–prey model, shortly referred to as geometric mean (GM) predator–prey model, has been recently introduced. Here, we perform a systematic comparison of the dynamics underlying the GM and LV models. Though the two models share several common features, the geometric mean dynamics exhibits a few peculiarities of interest. The structure of the scaled-population variables reduces to the simple harmonic oscillator with dimensionless natural time TGM varying as ωGMt with ωGM=c12c21. We found that the natural timescales of the evolution dynamics are amplified in the GM model compared to the LV one. Since the GM dynamics is ruled by the inter-species rather than the intra-species coefficients, the proposed model might be of interest when the interactions among the species, rather than the individual demography, rule the evolution of the ecosystems." @default.
• W4385514666 created "2023-08-04" @default.
• W4385514666 creator A5015981012 @default.
• W4385514666 creator A5070121753 @default.
• W4385514666 creator A5089026207 @default.
• W4385514666 date "2023-08-01" @default.
• W4385514666 modified "2023-09-23" @default.
• W4385514666 title "Quantifying population dynamics via a geometric mean predator–prey model" @default.
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• W4385514666 doi "https://doi.org/10.1063/5.0158723" @default.
• W4385514666 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/37535023" @default.
• W4385514666 hasPublicationYear "2023" @default.
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