Differential Equations and Population Dynamics II

Advanced Approaches

Arnaud Ducrot, Quentin Griette, Zhihua Liu, Pierre Magal (Autoren)

Online Resource

X, 460 Seiten

2026
Springer International Publishing (Hersteller)
978-3-031-91409-6 (ISBN)

Inhalt

Part I Dynamical Systems in Population Dynamics.- 1 Semiflows, 𝝎-limit Sets, 𝜶-limit Sets, Attraction, and Dissipation.- 2 Global Attractors and Uniform Persistence.- 3 Bifurcations.- 4 Center Manifold and Center Unstable Manifold Theory.- 5 Normal Forms.- Part II Applications to Predator Prey Systems.- 6 A Holling’s predator-prey model with handling and searching predators.- 7 Hopf bifurcation for a Holling’s predator-prey model with handling and searching predators.- 8 Large Speed Traveling Waves for the Rosenzweig-MacArthur model.- 9 A predator-prey model with infinitely many variants.

Produkt-Details

• Erscheint lt. Verlag: 23.1.2026
• Reihe/Serie: Lecture Notes on Mathematical Modelling in the Life Sciences
• Reihe/Serie: Mathematics and Statistics
• Reihe/Serie: Mathematics and Statistics (R0)
• Zusatzinfo: X, 460 p.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Biologie ► Ökologie / Naturschutz
• Schlagworte: Difference Equations • Differential Equations • epidemic modelling • linear population dynamics • non-linear population dynamics • predator prey system
• ISBN-10: 3-031-91409-0 / 3031914090
• ISBN-13: 978-3-031-91409-6 / 9783031914096
• Zustand: Neuware