Compact attractors for time-periodic age-structured population models.

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Travelling wave solutions for an infection-age structured model with diffusion (2009, methodology): “By using the fact that A is a Hille-Yosida operator, and by using integrated semigroup theory (see [15, 12] and references therein).”
EVENTUAL COMPACTNESS FOR SEMIFLOWS GENERATED BY NONLINEAR AGE-STRUCTURED MODELS (2004, background): “In particular with the condition given in Magal [26], one needs”
On semilinear Cauchy problems with non-dense domain (2009, methodology): “In the context of age-structured models the condition (1.3) has been successfully verified by Magal and Ruan [22] using some characterization on the resolvent of A.”
Hopf bifurcation for non-densely defined Cauchy problems (2011, methodology): “Here, we use the same approach as in Thieme [45], Magal [33], or Magal and Ruan [34].”
On integrated semigroups and age structured models in {$L^p$} spaces (2007, methodology): “We refer to Thieme [41, 43, 44], Magal [32], Thieme and Vrabie [45], Magal and Thieme [33], and Thieme and Vosseler [46] for more details on this approach.”
Hopf bifurcation in a size-structured population dynamic model with random growth (2009, methodology): “Contents lists available at ScienceDirect Journal of Differential Equations www.elsevier.com/locate/jde Hopf bifurcation in a size-structured population dynamic model with random growth Jixun Chu a,b,1, Arnaud Ducrot c, Pierre Magal a, Shigui Ruan d,∗,2 a Laboratoire de Mathématiques Appliquées du H”