Analytic solutions to a family of Lotka-Volterra related differential equations (Q1580223)
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scientific article; zbMATH DE number 1505763
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic solutions to a family of Lotka-Volterra related differential equations |
scientific article; zbMATH DE number 1505763 |
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Analytic solutions to a family of Lotka-Volterra related differential equations (English)
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13 September 2000
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The paper deals with a complete reduction of the Lotka-Volterra problem to an integral quadrature and its exploration of this quadrature. A family of first-order autonomous ordinary differential equations related to the Lotka-Volterra system is derived, and the analytic solutions to these systems are given. Moreover the constant of the motion for this family is given, and a simple transformation is found to take this invariant into Hamiltonian form.
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