• 2267 Citations
  • 22 h-Index
1977 …2012

Research output per year

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Article
2012

Peroxidase-ROS interactions\

Schaffer, W. M. & Bronnikova, T. V., May 1 2012, In : Nonlinear Dynamics. 68, 3, p. 413-430 18 p.

Research output: Contribution to journalArticle

10 Scopus citations
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

Controlling malaria: Competition, seasonality and ‘slingshotting’ transgenic mosquitoes into natural populations

Schaffer, W. M. & Bronnikova, T. V., Jan 1 2009, In : Journal of biological dynamics. 3, 2-3, p. 286-304 19 p.

Research output: Contribution to journalArticle

1 Scopus citations
2008

Human population and carbon dioxide

Schaffer, W. M., Jul 1 2008, In : Energy Policy. 36, 7, p. 2761-2764 4 p.

Research output: Contribution to journalArticle

2 Scopus citations
2007

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

Open Access
5 Scopus citations

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

1 Scopus citations
2002

Secondary quasiperiodicity in the peroxidase-oxidase reaction

Olsen, L. F., Bronnikova, T. V. & Schaffer, W. M., Apr 16 2002, In : Physical Chemistry Chemical Physics. 4, 8, p. 1292-1298 7 p.

Research output: Contribution to journalArticle

6 Scopus citations
2001

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

15 Scopus citations

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

14 Scopus citations

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

19 Scopus citations

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

King, A. A. & Schaffer, W. M., Jan 1 2001, In : Ecology. 82, 3, p. 814-830 17 p.

Research output: Contribution to journalArticle

68 Scopus citations
1999

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

49 Scopus citations
1998

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

16 Scopus citations
1997

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

48 Scopus citations
1996

Quasiperiodicity in a detailed model of the peroxidase-oxidase reaction

Bronnikova, T. V., Schaffer, W. M. & Olsen, L. F., Jan 1 1996, In : Journal of Chemical Physics. 105, 24, p. 10849-10859 11 p.

Research output: Contribution to journalArticle

16 Scopus citations

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

16 Scopus citations
1995

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., Jan 1 1995, In : Journal of physical chemistry. 99, 23, p. 9309-9312 4 p.

Research output: Contribution to journalArticle

55 Scopus citations
1993

Chaos reduces species extinction by amplifying local population noise

Allen, J. C., Schaffer, W. M. & Rosko, D., Jan 1 1993, In : Nature. 364, 6434, p. 229-232 4 p.

Research output: Contribution to journalArticle

248 Scopus citations

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., Jan 1 1993, In : Journal of physical chemistry. 97, 32, p. 8431-8441 11 p.

Research output: Contribution to journalArticle

18 Scopus citations

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

Tidd, C. W., Olsen, L. F. & Schaffer, W. M., Jan 1 1993, In : Proceedings of the Royal Society B: Biological Sciences. 254, 1341, p. 257-273 17 p.

Research output: Contribution to journalArticle

45 Scopus citations

Transient periodicity and episodic predictability in biological dynamics

Schaffer, W. M., Kendall, B. E., Tidd, C. W. & Olsen, L. F., Dec 1 1993, In : Mathematical Medicine and Biology. 10, 4, p. 227-247 21 p.

Research output: Contribution to journalArticle

25 Scopus citations

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

13 Scopus citations
1991

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

30 Scopus citations
1990

Chaos versus noisy periodicity: Alternative hypotheses for childhood epidemics

Olsen, L. F. & Schaffer, W. M., Jan 1 1990, In : Science. 249, 4968, p. 499-504 6 p.

Research output: Contribution to journalArticle

218 Scopus citations
1988

Changing criteria for imposing order

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

Research output: Contribution to journalArticle

38 Scopus citations

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., Jun 1988, In : Theoretical Population Biology. 33, 3, p. 344-370 27 p.

Research output: Contribution to journalArticle

135 Scopus citations
1986

Discrete-time growth-dispersal models

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

Research output: Contribution to journalArticle

180 Scopus citations

Effects of noise on some dynamical models in ecology

Schaffer, W. M., Ellner, S. & Kot, M., Dec 1 1986, In : Journal of mathematical biology. 24, 5, p. 479-523 45 p.

Research output: Contribution to journalArticle

70 Scopus citations
1985

Can nonlinear dynamics elucidate mechanisms in ecology and epidemiology?

Schaffer, W. M., Jan 1 1985, In : Mathematical Medicine and Biology. 2, 4, p. 221-252 32 p.

Research output: Contribution to journalArticle

69 Scopus citations

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

155 Scopus citations

Order and chaos in ecological systems.

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

Research output: Contribution to journalArticle

163 Scopus citations
1984

The effects of seasonality on discrete models of population growth

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

Research output: Contribution to journalArticle

63 Scopus citations
1983

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., Jan 1 1983, In : Ecology. 64, 3, p. 564-577 14 p.

Research output: Contribution to journalArticle

97 Scopus citations

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

Schaffer, W. M., Jan 1 1983, In : American Naturalist. 121, 3, p. 418-431 14 p.

Research output: Contribution to journalArticle

124 Scopus citations
1982

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., Jan 1 1982, In : American Naturalist. 120, 6, p. 787-815 29 p.

Research output: Contribution to journalArticle

33 Scopus citations
1979
Open Access
21 Scopus citations
1978

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

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

Research output: Contribution to journalArticle

51 Scopus citations
21 Scopus citations
1977
12 Scopus citations