• 2218 Citations
  • 22 h-Index
1977 …2012
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Research Output 1977 2012

  • 2218 Citations
  • 22 h-Index
  • 42 Article
  • 1 Chapter
  • 1 Conference contribution
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Article
2012
9 Citations (Scopus)

Peroxidase-ROS interactions\

Schaffer, W. M. & Bronnikova, T. V., May 2012, In : Nonlinear Dynamics. 68, 3, p. 413-430 18 p.

Research output: Contribution to journalArticle

Reactive Oxygen Species
Peroxidase
Hydrogen peroxide
Hydrogen Peroxide
Oxygen
2009

A surfeit of cycles

Schaffer, W. M., Oct 2009, In : Energy and Environment. 20, 6, p. 985-996 12 p.

Research output: Contribution to journalArticle

Orbits
Climate change
Nonlinear systems
Time series
Trajectories
1 Citation (Scopus)

Controlling malaria: competition, seasonality and 'slingshotting' transgenic mosquitoes into natural populations.

Schaffer, W. M. & Bronnikova, T. V., Mar 2009, In : Journal of Biological Dynamics. 3, 2-3, p. 286-304 19 p.

Research output: Contribution to journalArticle

malaria
mosquito
seasonality
Culicidae
genetically modified organisms
2008
2 Citations (Scopus)

Human population and carbon dioxide

Schaffer, W. M., Jul 2008, In : Energy Policy. 36, 7, p. 2761-2764 4 p.

Research output: Contribution to journalArticle

Carbon dioxide
carbon dioxide
Carbon
carbon
Climate change
2007
5 Citations (Scopus)

Parametric dependence in model epidemics. I: contact-related parameters.

Schaffer, W. M. & Bronnikova, T. V., Apr 2007, In : Journal of Biological Dynamics. 1, 2, p. 183-195 13 p.

Research output: Contribution to journalArticle

behavior change
bifurcation
epidemiological studies
parameter
subduction
1 Citation (Scopus)

Parametric dependence in model epidemics. II: Non-contact rate-related parameters.

Schaffer, W. M. & Bronnikova, T. V., Jul 2007, In : Journal of Biological Dynamics. 1, 3, p. 231-248 18 p.

Research output: Contribution to journalArticle

immunity
bifurcation
infection
seasonality
annual cycle
2002
6 Citations (Scopus)

Secondary quasiperiodicity in the peroxidase-oxidase reaction

Olsen, L. F., Bronnikova, T. V. & Schaffer, W. M., 2002, In : Physical Chemistry Chemical Physics. 4, 8, p. 1292-1298 7 p.

Research output: Contribution to journalArticle

oxidase
fats
Chaos theory
Peroxidase
chaos
2001
15 Citations (Scopus)

Nonlinear dynamics of the peroxidase-oxidase reaction: I. Bistability and bursting oscillations at low enzyme concentrations

Bronnikova, T. V., Schaffer, W. M. & Olsen, L. F., Jan 11 2001, In : Journal of Physical Chemistry B. 105, 1, p. 310-321 12 p.

Research output: Contribution to journalArticle

oxidase
Peroxidase
enzymes
Oxidoreductases
Enzymes
14 Citations (Scopus)

Nonlinear dynamics of the peroxidase-oxidase reaction. II Compatibility of an extended model with previously reported model-data correspondences

Schaffer, W. M., Bronnikova, T. V. & Olsen, L. F., Jun 7 2001, In : Journal of Physical Chemistry B. 105, 22, p. 5331-5340 10 p.

Research output: Contribution to journalArticle

oxidase
compatibility
Peroxidase
Oxidoreductases
enzymes
19 Citations (Scopus)

Sub-harmonic resonance and multi-annual oscillations in northern mammals: A non-linear dynamical systems perspective

Schaffer, W. M., Pederson, B. S., Moore, B. K., Skarpaas, O., King, A. A. & Bronnikova, T. V., Jan 2 2001, In : Chaos, Solitons and Fractals. 12, 2, p. 251-264 14 p.

Research output: Contribution to journalArticle

predators
mammals
Subharmonics
Nonlinear Dynamical Systems
dynamical systems
65 Citations (Scopus)

The geometry of a population cycle: A mechanistic model of snowshoe hare demography

King, A. A. & Schaffer, W. M., 2001, In : Ecology. 82, 3, p. 814-830 17 p.

Research output: Contribution to journalArticle

Lepus americanus
population cycle
mechanistic models
demography
geometry
1999
47 Citations (Scopus)

The rainbow bridge: Hamiltonian limits and resonance in predator-prey dynamics

King, A. A. & Schaffer, W. M., Nov 1999, In : Journal of Mathematical Biology. 39, 5, p. 439-469 31 p.

Research output: Contribution to journalArticle

Hamiltonians
Predator-prey
Horns
predators
Annual
1998
16 Citations (Scopus)

Routes to chaos in the peroxidase-oxidase reaction. 2. The fat torus scenario

Bronnikova, T. V., Schaffer, W. M., Hauser, M. J. B. & Olsen, L. F., Jan 15 1998, In : Journal of Physical Chemistry B. 102, 3, p. 632-640 9 p.

Research output: Contribution to journalArticle

oxidase
fats
Oils and fats
Chaos theory
Peroxidase
1997
48 Citations (Scopus)

Routes to chaos in the peroxidase-oxidase reaction: Period-doubling and period-adding

Hauser, M. J. B., Olsen, L. F., Bronnikova, T. V. & Schaffer, W. M., Jun 19 1997, In : Journal of Physical Chemistry B. 101, 25, p. 5075-5083 9 p.

Research output: Contribution to journalArticle

period doubling
oxidase
Chaos theory
Peroxidase
chaos
1996
16 Citations (Scopus)

Quasiperiodicity in a detailed model of the peroxidase-oxidase reaction

Bronnikova, T. V., Schaffer, W. M. & Olsen, L. F., 1996, In : The Journal of Chemical Physics. 105, 24, p. 10849-10859 11 p.

Research output: Contribution to journalArticle

oxidase
Peroxidase
Oxidoreductases
Hopf bifurcation
Chaos theory
15 Citations (Scopus)

Weakly dissipative predator-prey systems

King, A. A., Schaffer, W. M., Gordon, C., Treat, J. & Kot, M., Sep 1996, In : Bulletin of Mathematical Biology. 58, 5, p. 835-859 25 p.

Research output: Contribution to journalArticle

Predator prey systems
orbits
Dissipative Systems
Predator-prey System
Orbit
1995
55 Citations (Scopus)

Period-doubling bifurcations and chaos in a detailed model of the peroxidase-oxidase reaction

Bronnikova, T. V., Fed'kina, V. R., Schaffer, W. M. & Olsen, L. F., 1995, In : Journal of Physical Chemistry. 99, 23, p. 9309-9312 4 p.

Research output: Contribution to journalArticle

period doubling
oxidase
Chaos theory
Peroxidase
chaos
1993
241 Citations (Scopus)

Chaos reduces species extinction by amplifying local population noise

Allen, J. C., Schaffer, W. M. & Rosko, D., Jul 15 1993, In : Nature. 364, 6434, p. 229-232 4 p.

Research output: Contribution to journalArticle

Biological Extinction
Noise
Population
Theoretical Models
Nonlinear Dynamics
18 Citations (Scopus)

Nonlinear analyses of periodic and chaotic time series from the peroxidase-oxidase reaction

Geest, T., Olsen, L. F., Steinmetz, C. G., Larter, R. & Schaffer, W. M., 1993, In : Journal of Physical Chemistry. 97, 32, p. 8431-8441 11 p.

Research output: Contribution to journalArticle

oxidase
Peroxidase
Time series
Oxidoreductases
period doubling
45 Citations (Scopus)

The case for chaos in childhood epidemics. II. Predicting historical epidemics from mathematical models

Tidd, C. W., Olsen, L. F. & Schaffer, W. M., 1993, In : Proceedings of the Royal Society B: Biological Sciences. 254, 1341, p. 257-273 17 p.

Research output: Contribution to journalArticle

chaotic dynamics
childhood
Chaos theory
Theoretical Models
mathematical models
25 Citations (Scopus)

Transient periodicity and episodic predictability in biological dynamics

Schaffer, W. M., Kendall, B. E., Tidd, C. W. & Olsen, L. F., 1993, In : Mathematical Medicine and Biology. 10, 4, p. 227-247 21 p.

Research output: Contribution to journalArticle

Predictability
Periodicity
periodicity
Saddle
Biological Phenomena
13 Citations (Scopus)

Transient periodicity in chaos

Kendall, B. E., Schaffer, W. M. & Tidd, C. W., May 31 1993, In : Physics Letters A. 177, 1, p. 13-20 8 p.

Research output: Contribution to journalArticle

saddles
chaos
periodic variations
unions
partitions
1991
30 Citations (Scopus)

Population cycles in mammals and birds: Does periodicity scale with body size?

Krukonis, G. & Schaffer, W. M., Feb 21 1991, In : Journal of Theoretical Biology. 148, 4, p. 469-493 25 p.

Research output: Contribution to journalArticle

Population statistics
Herbivory
Mammals
Scaling laws
Birds
1990
216 Citations (Scopus)

Chaos versus noisy periodicity: Alternative hypotheses for childhood epidemics

Olsen, L. F. & Schaffer, W. M., Aug 3 1990, In : Science. 249, 4968, p. 499-504 6 p.

Research output: Contribution to journalArticle

Chickenpox
Measles
Periodicity
Population Density
Disease Outbreaks
1988
38 Citations (Scopus)

Changing criteria for imposing order

Kot, M., Schaffer, W. M., Truty, G. L., Graser, D. J. & Olsen, L. F., 1988, In : Ecological Modelling. 43, 1-2, p. 75-110 36 p.

Research output: Contribution to journalArticle

chaotic dynamics
time series
childhood
early development
time series analysis
131 Citations (Scopus)

Oscillations and chaos in epidemics: A nonlinear dynamic study of six childhood diseases in Copenhagen, Denmark

Olsen, L. F., Truty, G. L. & Schaffer, W. M., 1988, In : Theoretical Population Biology. 33, 3, p. 344-370 27 p.

Research output: Contribution to journalArticle

rubella
measles
Mumps
Nonlinear Dynamics
Chickenpox
1986
87 Citations (Scopus)

Chaos in ecological systems: The coals that Newcastle forgot

Schaffer, W. M. & Kot, M., 1986, In : Trends in Ecology and Evolution. 1, 3, p. 58-63 6 p.

Research output: Contribution to journalArticle

community ecology
population ecology
chaotic dynamics
ecologists
coal
172 Citations (Scopus)

Discrete-time growth-dispersal models

Kot, M. & Schaffer, W. M., 1986, In : Mathematical Biosciences. 80, 1, p. 109-136 28 p.

Research output: Contribution to journalArticle

Integrodifference Equations
Chaos theory
Discrete-time
Discrete-time Model
Period Doubling
68 Citations (Scopus)

Effects of noise on some dynamical models in ecology

Schaffer, W. M., Ellner, S. & Kot, M., Dec 1986, In : Journal of Mathematical Biology. 24, 5, p. 479-523 45 p.

Research output: Contribution to journalArticle

Dynamical Model
Ecology
Noise
Attractor
ecology
1985

Can nonlinear dynamics elucidate mechanisms in ecology and epidemiology?

Schaffer, W. M., 1985, In : IMA J.MATH.APPL.MED.BIOL.. 2, 4, p. 221-252 32 p.

Research output: Contribution to journalArticle

measles
Epidemiology
Nonlinear Dynamics
chaotic dynamics
Ecology
68 Citations (Scopus)

Can nonlinear dynamics elucidate mechanisms in ecology and epidemiology?

Schaffer, W. M., 1985, In : Mathematical Medicine and Biology. 2, 4, p. 221-252 32 p.

Research output: Contribution to journalArticle

Epidemiology
Ecology
151 Citations (Scopus)

Nearly one dimensional dynamics in an epidemic

Schaffer, W. M. & Kot, M., Jan 21 1985, In : Journal of Theoretical Biology. 112, 2, p. 403-427 25 p.

Research output: Contribution to journalArticle

Unimodal Map
Baltimore
Nonlinear Dynamics
Measles
angle of incidence
158 Citations (Scopus)

Order and chaos in ecological systems.

Schaffer, W. M., 1985, In : Ecology. 66, 1, p. 93-106 14 p.

Research output: Contribution to journalArticle

chaotic dynamics
trapping
time series analysis
predators
methodology
1984
62 Citations (Scopus)

The effects of seasonality on discrete models of population growth

Kot, M. & Schaffer, W. M., 1984, In : Theoretical Population Biology. 26, 3, p. 340-360 21 p.

Research output: Contribution to journalArticle

Population Growth
seasonality
population growth
summer
Population Density
1983
94 Citations (Scopus)

Competition for nectar between introduced honey bees and native North American bees and ants.

Schaffer, W. M., Zeh, D. W., Buchmann, S. L., Kleinhans, S., Schaffer, M. V. & Antrim, J., 1983, In : Ecology. 64, 3, p. 564-577 14 p.

Research output: Contribution to journalArticle

honey
nectar
bee
honey bees
ant
123 Citations (Scopus)

The application of optimal control theory to the general life history problem.

Schaffer, W. M., 1983, In : American Naturalist. 121, 3, p. 418-431 14 p.

Research output: Contribution to journalArticle

age class
age structure
life history
breeding season
1982
33 Citations (Scopus)

Energy allocation by an annual plant when the effects of seasonality on growth and reproduction are decoupled.

Schaffer, W. M., Inouye, R. S. & Whittam, T. S., 1982, In : American Naturalist. 120, 6, p. 787-815 29 p.

Research output: Contribution to journalArticle

annual plant
reproductive efficiency
seasonality
photosynthates
energy
1979
21 Citations (Scopus)
Genetic Fitness
Health Expenditures
Breeding
Survival Rate
1978
50 Citations (Scopus)

Homage to the red queen. I. Coevolution of predators and their victims

Schaffer, W. M. & Rosenzweig, M. L., 1978, In : Theoretical Population Biology. 14, 1, p. 135-157 23 p.

Research output: Contribution to journalArticle

coevolution
Ecosystem
predator
predators
Growth
21 Citations (Scopus)
coevolution
Ecosystem
ecosystems
ecosystem
predators
1977
6 Citations (Scopus)

Evolution, population dynamics, and stability: A comment

Schaffer, W. M., 1977, In : Theoretical Population Biology. 11, 3, p. 326-329 4 p.

Research output: Contribution to journalArticle

Population Genetics
Population Dynamics
coevolution
population genetics
population dynamics
12 Citations (Scopus)
Plant Physiological Phenomena
Biological Models
competitive ability
plant physiology
angiosperm