About: Evolution of mobility in predator-prey systems

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We investigate the dynamics of a predator-prey system with the assumption that both prey and predators use game theory-based strategies to maximize their per capita population growth rates. The predators adjust their strategies in order to catch more prey per unit time, while the prey, on the other hand, adjust their reactions to minimize the chances of being caught. We assume each individual is either mobile or sessile and investigate the evolution of mobility for each species in the predator-prey system. When the underlying population dynamics is of the Lotka-Volterra type, we show that strategies evolve to the equilibrium predicted by evolutionary game theory and that population sizes approach their corresponding stable equilibrium (i.e. strategy and population effects can be analyzed separately). This is no longer the case when population dynamics is based on the Holling II functional response, although the strategic analysis still provides a valuable intuition into the long term outcome. Numerical simulation results indicate that, for some parameter values, the system has chaotic behavior. Our investigation reveals the relationship between the game theory-based reactions of prey and predators, and their population changes. We investigate the dynamics of a predator-prey system with the assumption that both prey and predators use game theory-based strategies to maximize their per capita population growth rates. The predators adjust their strategies in order to catch more prey per unit time, while the prey, on the other hand, adjust their reactions to minimize the chances of being caught. We assume each individual is either mobile or sessile and investigate the evolution of mobility for each species in the predator-prey system. When the underlying population dynamics is of the Lotka-Volterra type, we show that strategies evolve to the equilibrium predicted by evolutionary game theory and that population sizes approach their corresponding stable equilibrium (i.e. strategy and population effects can be analyzed separately). This is no longer the case when population dynamics is based on the Holling II functional response, although the strategic analysis still provides a valuable intuition into the long term outcome. Numerical simulation results indicate that, for some parameter values, the system has chaotic behavior. Our investigation reveals the relationship between the game theory-based reactions of prey and predators, and their population changes. (en)
Title	Evolution of mobility in predator-prey systems Evolution of mobility in predator-prey systems (en)
skos:prefLabel	Evolution of mobility in predator-prey systems Evolution of mobility in predator-prey systems (en)
skos:notation	RIV/60077344:_____/14:00432337!RIV15-AV0-60077344
http://linked.open...avai/riv/aktivita	I
http://linked.open...avai/riv/aktivity	I
http://linked.open...iv/cisloPeriodika	10
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Křivan, Vlastimil
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Biologické centrum AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	15576
http://linked.open...ai/riv/idVysledku	RIV/60077344:_____/14:00432337
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	predator-prey systems (en)
http://linked.open.../riv/klicoveSlovo	predator-prey systems
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[96F610DCD413]
http://linked.open...i/riv/nazevZdroje	Discrete and Continuous Dynamical Systems-Series B
http://linked.open...in/vavai/riv/obor	EH
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	19
http://linked.open...iv/tvurceVysledku	Křivan, Vlastimil Cressman, R. Xu, F.
http://linked.open...ain/vavai/riv/wos	000348350200020
issn	1531-3492
number of pages	36 (xsd:int)
http://bibframe.org/vocab/doi	10.3934/dcdsb.2014.19.3397

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