On the Integrability of a Tritrophic Food Chain Model
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AbstractIn this paper we work with a vastly analyzed tritrophic food chain model. We provide a complete characterization of their Darboux polynomials and of their exponential factors. We also show the non-existence of polynomial first integrals, of rational first integrals, of local analytic first integrals in a neighborhood of the origin, of first integrals that can be described by formal series and of Darboux first integrals.
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2020 ◽
Vol 1591
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pp. 012082
Keyword(s):
2016 ◽
Vol 26
(1-3)
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pp. 157-176
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1979 ◽
Vol 15
(2)
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pp. 217-231
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2014 ◽
Vol 955-959
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pp. 463-470