Integrability in nonlinear biomathematical models

Jaume Llibre; Clàudia Valls

doi:10.1016/j.geomphys.2013.01.001

Integrability in nonlinear biomathematical models

Jaume Llibre, Clàudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

We study the integrability of two biomathematical models described by quadratic polynomial differential systems in the plane. These two models can be divided into six families of differential systems. For five of these families we classify all the systems which are Darboux integrable or globally analytic integrable. © 2013 Elsevier B.V.

Original language	English
Pages (from-to)	50-70
Journal	Journal of Geometry and Physics
Volume	66
DOIs	https://doi.org/10.1016/j.geomphys.2013.01.001
Publication status	Published - 1 Apr 2013

Keywords

Analytic first integrals
Darboux first integrals
Formal first integrals
Liouvillian first integrals
Lotka-Volterra systems

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10.1016/j.geomphys.2013.01.001

https://ddd.uab.cat/record/150662

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title = "Integrability in nonlinear biomathematical models",

abstract = "We study the integrability of two biomathematical models described by quadratic polynomial differential systems in the plane. These two models can be divided into six families of differential systems. For five of these families we classify all the systems which are Darboux integrable or globally analytic integrable. {\textcopyright} 2013 Elsevier B.V.",

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AB - We study the integrability of two biomathematical models described by quadratic polynomial differential systems in the plane. These two models can be divided into six families of differential systems. For five of these families we classify all the systems which are Darboux integrable or globally analytic integrable. © 2013 Elsevier B.V.

KW - Analytic first integrals

KW - Darboux first integrals

KW - Formal first integrals

KW - Liouvillian first integrals

KW - Lotka-Volterra systems

UR - https://www.scopus.com/pages/publications/84873836841

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DO - 10.1016/j.geomphys.2013.01.001

M3 - Article

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VL - 66

SP - 50

EP - 70

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Integrability in nonlinear biomathematical models

Abstract

Keywords

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