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Integrability of the Basener–Ross model with time-dependent coefficients

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Springer Science and Business Media LLC

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The Basener-Ross system is a known model in Population Dynamics for the interaction of consumers and resources in an isolated habitat. For an extended version with time-dependent coefficients as a model of possible variations of the environtmental conditions, some relations among the coefficients are provided leading to the integrability of the system.
10 pages, 1 figure

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SeMA Journal

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2254-3902

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OPEN

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exact solution, integrability, A05, 34c14, 92d25, Lie symmetry, Population dynamics (general), Mathematics - Classical Analysis and ODEs, Qualitative investigation and simulation of ordinary differential equation models, Explicit solutions, first integrals of ordinary differential equations, Classical Analysis and ODEs (math.CA), FOS: Mathematics, predator-prey, Symmetries, invariants of ordinary differential equations, Basener-Ross model

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