Abstract
In 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.
Original language | English |
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Pages (from-to) | 331-355 |
Journal | Advanced Nonlinear Studies |
Volume | 10 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jan 2010 |
Keywords
- Analytic integrability tritrophic food chain model
- Darboux integrability
- Darboux polynomial
- Exponential factor
- Formal integrability
- Polynomial integrability