Normal forms for an age structured model

DOI10.1007/s10884-015-9500-8zbMath1350.35021OpenAlexW1950776708MaRDI QIDQ330523

Pierre Magal, Zhihua Liu, Jixun Chu, Shigui Ruan

Publication date: 26 October 2016

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-015-9500-8

zbMATH Keywords

Hopf bifurcationbifurcation directionnon-densely defined Cauchy problem

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Periodic solutions to PDEs (35B10) One-parameter semigroups and linear evolution equations (47D06) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (11)

Absence of small solutions and existence of Morse decomposition for a cyclic system of delay differential equations ⋮ Takens-Bogdanov bifurcation for a ratio-dependent predation interaction involving prey-competition and predator-age ⋮ Hopf bifurcation in an age-structured predator-prey system with Beddington-DeAngelis functional response and constant harvesting ⋮ Global Hopf bifurcation of an SIRS epidemic model with age-dependent recovery ⋮ Bifurcation Analysis of a Predator–Prey Model with Age Structure ⋮ Hopf-Zero bifurcation in an age-dependent predator-prey system with Monod-Haldane functional response comprising strong Allee effect ⋮ Existence and properties of Hopf bifurcation in an age-dependent predation system with prey harvesting ⋮ Normal forms for semilinear equations with non-dense domain with applications to age structured models ⋮ Bogdanov-Takens bifurcation in a predator-prey model ⋮ Hopf bifurcation for a susceptible-infective model with infection-age structure ⋮ On oscillations to a 2D age-dependent predation equations characterizing Beddington-DeAngelis type schemes

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