Study of the Nonelementary Singular Points and the Dynamics Near the Infinity in Predator-Prey Systems
Diz-Pita, Érika (Universidade de Santiago de Compostela)
Llibre, Jaume (Universitat Autònoma de Barcelona)
Otero-Espinar, M. Victoria (Universidade de Santiago de Compostela)

Imprint:	Cham : Springer, 2023
Description:	26 pàg.
Abstract:	In this chapter, we present the results obtained in two predator-prey systems, paying special attention to the dynamics near the infinity and the nonelementary singular points. First, the desingularization technique known as blow-up technique allows one to study any type of singularities of analytic systems in dimension two even if they are not elementary. In the other hand, the introduction of the Poincaré compactification allows one to accomplish a complete study of the global dynamics of these systems. In addition to the proofs of the results obtained in those cases, we include a survey on the used techniques from a theoretical point of view.
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Language:	Anglès
Additional title':	Nonlinear Systems and Complexity 38
Document:	Capítol de llibre ; Versió acceptada per publicar
Subject:	Computational Models ; Complex biological systems ; Cancer and angiogenesis ; Biological pattern formation ; Optimization and applications of mathematical models in biology
Published in:	Computational and Mathematical Models in Biology, 2023, p. 103-128, ISBN 978-3-031-42689-6

DOI: 10.1007/978-3-031-42689-6_5

Postprint 26 p, 954.2 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Books and collections > Book chapters