Publication: Integrability of the Basener–Ross model with time-dependent coefficients
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Springer Science and Business Media LLC
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Abstract
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
10 pages, 1 figure
Description
Journal or Series
SeMA Journal
ISSN
2254-3902
ISBN
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OPEN
Keywords
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