A generalized Gause predator-prey system fails to be Liouvillian integrable in certain parameter regions, implying nonintegrability of an associated second-kind Abel equation with polynomial coefficients, while local analytic first integrals exist near equilibria.
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Liouvillian and Analytic Integrability of a Generalized Gause System
A generalized Gause predator-prey system fails to be Liouvillian integrable in certain parameter regions, implying nonintegrability of an associated second-kind Abel equation with polynomial coefficients, while local analytic first integrals exist near equilibria.