20.500.12556/DKUM-60189 Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers If rock beats scissors and scissors beat paper, one might assume that rock beats paper too. But this is not the case for intransitive relationships that make up the famous rock-paper-scissors game. However, the sole presence of paper might prevent rock from beating scissors, simply because paper beats rock. This is the blueprint for the rock-paper-scissors game with protection spillovers, which has recently been introduced as a new paradigm for biodiversity in well-mixed microbial populations. Here we study the game in structured populations, demonstrating that protection spillovers give rise to spatial patterns that are impossible to observe in the classical rock-paper-scissors game.Weshow that the spatiotemporal dynamics of the system is determined by the density of stable vortices, which may ultimately transform to frozen states, to propagating waves, or to target waves with reversed propagation direction, depending further on the degree and type of randomness in the interactions among the species. If vortices are rare, the fixation to waves and complex oscillatory solutions is likelier. Moreover, annealed randomness in interactions favors the emergence of target waves, while quenched randomness favors collective synchronization. Our results demonstrate that protection spillovers may fundamentally change the dynamics of cyclic dominance in structured populations, and they outline the possibility of programming pattern formation in microbial populations. cyclical interactions pattern formation vortices phase transitions selforganization biodiversity ciklične interakcije prostorski vzorci vrtinci fazni prehodi samoorganizacija biodiverziteta true true true Angleški jezik Slovenski jezik Članek v reviji 2016-06-09 03:16:06 2017-07-03 10:26:07 2024-05-28 13:00:27 2019-07-11 11:38:15 2015 0 0 str. 1-12 Letn. 17 2015 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1367-2630 53 21135621 21771272 10.1088/1367-2630/17/11/113033 1367-2630 URN:SI:UM:DK:4G6FKRYX New_Journal_of_Physics_2015_Szolnoki,_Perc_Vortices_determine_the_dynamics_of_biodiversity_in_cyclical_interactions_with_protection_spil.pdf New_Journal_of_Physics_2015_Szolnoki,_Perc_Vortices_determine_the_dynamics_of_biodiversity_in_cyclical_interactions_with_protection_spil.pdf 1 D7593EC30767693714C104A0E60D3D18 08d61c97f4d51dd9660de280fd371a458b992862dfb77912e3bc6ca10647dc6e 55e85745-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=113465 http://stacks.iop.org/1367-2630/17/i=11/a=113033?key=crossref.b4eef018af5f28213aa9b99a0900a8a9 1 https://dk.um.si/Dokument.php?lang=slv&id=94004 Fakulteta za naravoslovje in matematiko 0 0 0