Integrability in nonlinear biomathematical models
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2013
Abstract:	We study the integrability of two biomathematical models described by quadratic polynomial differential systems in the plane. These two models can be divided in six families of differential systems. For five of these families we classify all the systems which are Darboux integrable or globally analytic integrable.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The second author has been partially supported by FCT through CAMGSD, Lisbon
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Darboux polynomials ; Polynomial first integrals ; Elementary first integrals ; Exponential factors ; Liouvillian first integrals ; Darbouxian first integrals ; Formal first integrals ; Analytic first integrals
Published in:	Journal of geometry and physics, Vol. 66 (2013) , p. 50-70, ISSN 0393-0440

DOI: 10.1016/j.geomphys.2013.01.001

Postprint 23 p, 755.7 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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