title: Mathematical Model of the Dynamics of Fish, Waterbirds and Tourists in the Djoudj National Park, Senegal.
abstract: In the present paper, we propose and analyze a harvested predator-prey model that incorporates the dynamics of tourists in the Djoudj National Park of Birds, Senegal. The model describes the impact of migration of waterbirds and seasonal fishing on the global coexistence of species in the site of the Djoudj. By the Mahwin continuation theorem of coincidence degree theory, we investigate the existence of a positive periodic solution. The global asymptotic stability is discussed by constructing a suitable Lyapunov functional. Some computational results are also addressed.
authors.affiliation: LANI-UFR SAT, Université Gaston Berger, B.P. 234, Saint-Louis, Senegal. oumardiop32@yahoo.fr.
authors.forename: Oumar
authors.initials: O
authors.lastname: Diop
authors.affiliation: CEA-MITIC, Université Gaston Berger, B.P. 234, Saint-Louis, Senegal.
authors.forename: Abdou
authors.initials: A
authors.lastname: Sène
mesh_terms: D000818:Animals; D001717:Birds / Q000502:physiology*; D005399:Fishes / Q000502:physiology*; D008954:Models, Biological; D008962:Models, Theoretical; D000068316:Parks, Recreational; D011157:Population Dynamics; D012675:Senegal; D014195:Travel / Q000706:statistics & numerical data*
keywords: Continuation theorem; Djoudj National Park; Global stability; Permanence; Population dynamics