caa a22 4500 445330414 CHVBK 20180317142735.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00285-010-0342-z doi (NATIONALLICENCE)springer-10.1007/s00285-010-0342-z Attractivity of coherent manifolds in metapopulation models [Elektronische Daten] [C. McCluskey, David Earn] The likelihood that coupled dynamical systems will completely synchronize, or become "coherent”, is often of great applied interest. Previous work has established conditions for local stability of coherent solutions and global attractivity of coherent manifolds in a variety of spatially explicit models. We consider models of communities coupled by dispersal and explore intermediate regimes in which it can be shown that states in phase space regions of positive measure are attracted to coherent solutions. Our methods yield rigorous and practically useful coherence criteria that facilitate useful analyses of ecological and epidemiological problems. Springer-Verlag, 2010 Synchrony nationallicence Synchronization nationallicence Local stability nationallicence Global stability nationallicence Differential equations nationallicence Invariant manifolds nationallicence Lozinskii measures nationallicence McCluskey C. Department of Mathematics, Wilfrid Laurier University, 75 University Avenue West, N2L 3C5, Waterloo, ON, Canada aut Earn David Department of Mathematics and Statistics, McMaster University, 1280 Main St. West, L8S 4K1, Hamilton, ON, Canada aut Journal of Mathematical Biology Springer-Verlag 62/4(2011-04-01), 509-541 0303-6812 62:4<509 2011 62 285 https://doi.org/10.1007/s00285-010-0342-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0342-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- McCluskey C. Department of Mathematics, Wilfrid Laurier University, 75 University Avenue West, N2L 3C5, Waterloo, ON, Canada aut NATIONALLICENCE 700 1- Earn David Department of Mathematics and Statistics, McMaster University, 1280 Main St. West, L8S 4K1, Hamilton, ON, Canada aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 62/4(2011-04-01), 509-541 0303-6812 62:4<509 2011 62 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer