title: Mathematical modeling of an urban pigeon population subject to local management strategies.
abstract: This paper addresses the issue of managing urban pigeon population using some possible actions that make it reach a density target with respect to socio-ecological constraints. A mathematical model describing the dynamic of this population is introduced. This model incorporates the effect of some regulatory actions on the dynamic of this population. We use mathematical viability theory, which provides a framework to study compatibility between dynamics and state constraints. The viability study shows when and how it is possible to regulate the pigeon population with respect to the constraints.
authors.affiliation: Sorbonne Universités, UPMC Univ Paris 06, Institut de Mathématiques de Jussieu, 4 place Jussieu, 75005, Paris, France; Sorbonne Universités, UPMC Univ Paris 06, UMR 7606, LIP6, F-75005, Paris, France; Centre d'Écologie et des Sciences de la Conservation (CESCO UMR 7204), Sorbonne Universités, MNHN, CNRS, UPMC, CP135, 57 rue Cuvier, 75005, Paris, France. Electronic address: Ihab.HAIDAR@imj-prg.fr.
authors.forename: I
authors.initials: I
authors.lastname: Haidar
authors.affiliation: Sorbonne Universités, UPMC Univ Paris 06, UMR 7606, LIP6, F-75005, Paris, France; Irstea, LISC, Aubière, France.
authors.forename: I
authors.initials: I
authors.lastname: Alvarez
authors.affiliation: Centre d'Écologie et des Sciences de la Conservation (CESCO UMR 7204), Sorbonne Universités, MNHN, CNRS, UPMC, CP135, 57 rue Cuvier, 75005, Paris, France.
authors.forename: A C
authors.initials: AC
authors.lastname: Prévot
mesh_terms: D000818:Animals; D010856:Columbidae; D008962:Models, Theoretical; D010571:Pest Control; D011157:Population Dynamics
keywords: Biodiversity governance; Dynamical system; Pigeons; Viability theory