caa a22 4500 477037062 CHVBK 20180405111308.0 cr unu---uuuuu 170330e19960701xx s 000 0 eng 10.1007/BF02433474 doi (NATIONALLICENCE)springer-10.1007/BF02433474 Bifurcation analysis of a metapopulation model with sources and sinks [Elektronische Daten] [M. Gyllenberg, A. Osipov, G. Söderbacka] Summary: A class of functions describing the Allee effect and local catastrophes in population dynamics is introduced and the behaviour of the resulting one-dimensional discrete dynamical system is investigated in detail. The main topic of the paper is a treatment of the two-dimensional system arising when an Allee function is coupled with a function describing the population decay in a so-called sink. New types of bifurcation phenomena are discovered and explained. The relevance of the results for metapopulation dynamics is discussed. Springer-Verlag New York Inc., 1996 Metapopulation nationallicence Allee effect nationallicence local catastrophe nationallicence source-sink model nationallicence two-dimensional discrete dynamical system nationallicence basin-eroding and chaotic area bifurcations nationallicence salvage effect nationallicence critical lines nationallicence subcharacteristic set nationallicence Gyllenberg M. Department of Mathematics, University of Turku, FIN-20014, Turku, Finland aut Osipov A. Faculty of Mathematics and Mechanics, St. Petersburg State University, Ulianovskaya 1, St. Petergof, 198904, St. Petersburg, Russia aut Söderbacka G. Department of Mathematics, University of Luleå, S-97187, Luleå, Sweden aut Journal of Nonlinear Science Springer-Verlag 6/4(1996-07-01), 329-366 0938-8974 6:4<329 1996 6 332 https://doi.org/10.1007/BF02433474 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02433474 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gyllenberg M. Department of Mathematics, University of Turku, FIN-20014, Turku, Finland aut NATIONALLICENCE 700 1- Osipov A. Faculty of Mathematics and Mechanics, St. Petersburg State University, Ulianovskaya 1, St. Petergof, 198904, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Söderbacka G. Department of Mathematics, University of Luleå, S-97187, Luleå, Sweden aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 6/4(1996-07-01), 329-366 0938-8974 6:4<329 1996 6 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer