Ross Cressman

Summary

Affiliation: Wilfrid Laurier University
Country: Canada

Publications

  1. ncbi request reprint Evolutionary stability in Lotka-Volterra systems
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5
    J Theor Biol 222:233-45. 2003
  2. doi request reprint Cooperation and evolutionary dynamics in the public goods game with institutional incentives
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
    J Theor Biol 299:144-51. 2012
  3. doi request reprint CSS, NIS and dynamic stability for two-species behavioral models with continuous trait spaces
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
    J Theor Biol 262:80-9. 2010
  4. ncbi request reprint Migration dynamics for the ideal free distribution
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada
    Am Nat 168:384-97. 2006
  5. ncbi request reprint Uninvadability in N-species frequency models for resident-mutant systems with discrete or continuous time
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5
    Theor Popul Biol 69:253-62. 2006
  6. ncbi request reprint Stability of the replicator equation for a single species with a multi-dimensional continuous trait space
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada
    J Theor Biol 239:273-88. 2006
  7. ncbi request reprint Measure dynamics on a one-dimensional continuous trait space: theoretical foundations for adaptive dynamics
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ont, N2L 3C5, Canada
    Theor Popul Biol 67:47-59. 2005
  8. ncbi request reprint Ideal free distributions, evolutionary games, and population dynamics in multiple-species environments
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
    Am Nat 164:473-89. 2004
  9. ncbi request reprint Stability in N-species coevolutionary systems
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Ont, N2L 3C5 Waterloo, Canada
    Theor Popul Biol 64:519-33. 2003
  10. ncbi request reprint Evolutionarily stable sets in the single-locus frequency-dependent model of natural selection
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
    J Math Biol 47:465-82. 2003

Detail Information

Publications18

  1. ncbi request reprint Evolutionary stability in Lotka-Volterra systems
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5
    J Theor Biol 222:233-45. 2003
    ..The mathematical techniques are from the theory of dynamical systems, including linearization, centre manifolds and Molchanov's Theorem...
  2. doi request reprint Cooperation and evolutionary dynamics in the public goods game with institutional incentives
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
    J Theor Biol 299:144-51. 2012
    ..Stability of all these equilibria under standard evolutionary dynamics (i.e. the replicator equation and the canonical equation of adaptive dynamics) is characterized...
  3. doi request reprint CSS, NIS and dynamic stability for two-species behavioral models with continuous trait spaces
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada
    J Theor Biol 262:80-9. 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 one-dimensional trait space...
  4. ncbi request reprint Migration dynamics for the ideal free distribution
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada
    Am Nat 168:384-97. 2006
    ..If animal migration tends (for each fixed population size) to the IFD, then the combined migration-population dynamics evolve to the population IFD independent of the two timescales (i.e., behavioral vs. population)...
  5. ncbi request reprint Uninvadability in N-species frequency models for resident-mutant systems with discrete or continuous time
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5
    Theor Popul Biol 69:253-62. 2006
    ..The resultant concept is discussed in relation to that of an N-species ESS (evolutionarily stable strategy) and to dynamic stability of monomorphic and polymorphic evolutionary systems...
  6. ncbi request reprint Stability of the replicator equation for a single species with a multi-dimensional continuous trait space
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada
    J Theor Biol 239:273-88. 2006
    ....
  7. ncbi request reprint Measure dynamics on a one-dimensional continuous trait space: theoretical foundations for adaptive dynamics
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ont, N2L 3C5, Canada
    Theor Popul Biol 67:47-59. 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 multi-dimensional trait space are discussed...
  8. ncbi request reprint Ideal free distributions, evolutionary games, and population dynamics in multiple-species environments
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
    Am Nat 164:473-89. 2004
    ..Alternatively, we also show that when two species are distributed according to the IFD, the corresponding population equilibrium can be unstable...
  9. ncbi request reprint Stability in N-species coevolutionary systems
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Ont, N2L 3C5 Waterloo, Canada
    Theor Popul Biol 64:519-33. 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...
  10. ncbi request reprint Evolutionarily stable sets in the single-locus frequency-dependent model of natural selection
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
    J Math Biol 47:465-82. 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...
  11. ncbi request reprint A game-theoretic model for punctuated equilibrium: species invasion and stasis through coevolution
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ont, Canada N2L 3C5
    Biosystems 84:1-14. 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...
  12. doi request reprint A predator-prey refuge system: Evolutionary stability in ecological systems
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
    Theor Popul Biol 76:248-57. 2009
    ..These results generalize the concept of an evolutionarily stable strategy (ESS) to models in evolutionary ecology. Several biological examples of predator-prey systems are discussed from this perspective...
  13. doi request reprint Two-patch population models with adaptive dispersal: the effects of varying dispersal speeds
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, N2L 3C5, Canada
    J Math Biol 67:329-58. 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. ..
  14. doi request reprint Game-theoretic methods for functional response and optimal foraging behavior
    Ross 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. ..
  15. ncbi request reprint The effects of opportunistic and intentional predators on the herding behavior of prey
    Ross Cressman
    Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
    Ecology 92:432-40. 2011
    ..In particular, in our models, only the opportunistic predator can maintain all prey in a single herd that is under predation risk...
  16. doi request reprint The ideal free distribution: a review and synthesis of the game-theoretic perspective
    Vlastimil Krivan
    Department of Theoretical Ecology, Biology Center, Academy of Sciences of the Czech Republic, Czech Republic
    Theor Popul Biol 73:403-25. 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...
  17. ncbi request reprint Stochastic fluctuations through intrinsic noise in evolutionary game dynamics
    Yi Tao
    Key Laboratory of Animal Ecology and Conservation Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing, China
    Bull Math Biol 69:1377-99. 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...
  18. ncbi request reprint The role of behavioral dynamics in determining the patch distributions of interacting species
    Peter A Abrams
    Department of Ecology and Evolutionary Biology, University of Toronto, Toronto, Ontario M5S 3G5, Canada
    Am Nat 169:505-18. 2007
    ....