Research Topics
 Ross CressmanSummaryAffiliation: Wilfrid Laurier University Country: Canada Publications

Detail Information
Publications
 Evolutionary stability in LotkaVolterra systemsRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5
J Theor Biol 222:23345. 2003..The mathematical techniques are from the theory of dynamical systems, including linearization, centre manifolds and Molchanov's Theorem...  Cooperation and evolutionary dynamics in the public goods game with institutional incentivesRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
J Theor Biol 299:14451. 2012..Stability of all these equilibria under standard evolutionary dynamics (i.e. the replicator equation and the canonical equation of adaptive dynamics) is characterized...  Migration dynamics for the ideal free distributionRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada
Am Nat 168:38497. 2006..If animal migration tends (for each fixed population size) to the IFD, then the combined migrationpopulation dynamics evolve to the population IFD independent of the two timescales (i.e., behavioral vs. population)...  CSS, NIS and dynamic stability for twospecies behavioral models with continuous trait spacesRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
J Theor Biol 262:809. 2010..The CSS and NIS are also shown to be special cases of neighborhood p(*) superiority for p(*) equal to one half and zero, respectively. The theory is illustrated when each species has a onedimensional trait space...  Uninvadability in Nspecies frequency models for residentmutant systems with discrete or continuous timeRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5
Theor Popul Biol 69:25362. 2006..The resultant concept is discussed in relation to that of an Nspecies ESS (evolutionarily stable strategy) and to dynamic stability of monomorphic and polymorphic evolutionary systems...  Stability of the replicator equation for a single species with a multidimensional continuous trait spaceRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada
J Theor Biol 239:27388. 2006....  Measure dynamics on a onedimensional continuous trait space: theoretical foundations for adaptive dynamicsRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ont, N2L 3C5, Canada
Theor Popul Biol 67:4759. 2005..In the cases where adaptive dynamics predicts evolutionary branching, convergence to a dimorphism is established. Extensions of these results to general fitness functions and/or multidimensional trait space are discussed...  Ideal free distributions, evolutionary games, and population dynamics in multiplespecies environmentsRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
Am Nat 164:47389. 2004..Alternatively, we also show that when two species are distributed according to the IFD, the corresponding population equilibrium can be unstable...  Stability in Nspecies coevolutionary systemsRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Ont, N2L 3C5 Waterloo, Canada
Theor Popul Biol 64:51933. 2003..Also discussed is how our theory relates to recent treatments of phenotypic coevolution via adaptive dynamics when there is a continuum of individual phenotypes...  Evolutionarily stable sets in the singlelocus frequencydependent model of natural selectionRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
J Math Biol 47:46582. 2003..The interesting question of the dynamic stability of this preimage is also discussed and a geometric condition developed which implies its evolutionary and dynamic stability...  A gametheoretic model for punctuated equilibrium: species invasion and stasis through coevolutionRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ont, Canada N2L 3C5
Biosystems 84:114. 2006..This successful invasion is quickly followed by evolutionary changes in behavior when this species discovers the other habitat, leading to punctuated equilibrium as the final outcome...  A predatorprey refuge system: Evolutionary stability in ecological systemsRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
Theor Popul Biol 76:24857. 2009..These results generalize the concept of an evolutionarily stable strategy (ESS) to models in evolutionary ecology. Several biological examples of predatorprey systems are discussed from this perspective...  Twopatch population models with adaptive dispersal: the effects of varying dispersal speedsRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, N2L 3C5, Canada
J Math Biol 67:32958. 2013..In the case of two competing species, dispersal can destabilize population equilibrium. Conditions are given when this cannot happen, including the case of identical patches. ..  Gametheoretic methods for functional response and optimal foraging behaviorRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
PLoS ONE 9:e88773. 2014..Although suboptimal Nash equilibrium outcomes may exist when prey recognition time is included, only optimal foraging behavior is stable under evolutionary learning processes. ..  The effects of opportunistic and intentional predators on the herding behavior of preyRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
Ecology 92:43240. 2011..In particular, in our models, only the opportunistic predator can maintain all prey in a single herd that is under predation risk...  The replicator equation and other game dynamicsRoss Cressman
Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada N2L 3C5 and
Proc Natl Acad Sci U S A 111:108107. 2014..g., the best response dynamics and adaptive dynamics) and illustrated by examples taken from the literature. It is also extended to multiplayer, population, and asymmetric games. ..  The ideal free distribution: a review and synthesis of the gametheoretic perspectiveVlastimil Krivan
Department of Theoretical Ecology, Biology Center, Academy of Sciences of the Czech Republic, Czech Republic
Theor Popul Biol 73:40325. 2008..The consequences of this concept are shown to be related to recent studies of population dynamics combined with individual dispersal and are explored for more species or more patches...  Stochastic fluctuations through intrinsic noise in evolutionary game dynamicsYi Tao
Key Laboratory of Animal Ecology and Conservation Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing, China
Bull Math Biol 69:137799. 2007..It is shown that there is good agreement between the theory of these statistics and the simulation results. Furthermore, the ESS of the evolutionary game can be used to predict the mean steady state...  The role of behavioral dynamics in determining the patch distributions of interacting speciesPeter A Abrams
Department of Ecology and Evolutionary Biology, University of Toronto, Toronto, Ontario M5S 3G5, Canada
Am Nat 169:50518. 2007....