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A defining hypothesis of theoretical ecology during the past century has been that population fluctuations might largely be explained by relatively low-dimensional, nonlinear ecological interactions,â€¦ (More)

- Robert F. Costantino, J. M. Cushing, B. Dennis, Robert A. Desharnais
- Nature
- 1995

SIMPLE nonlinear models can generate fixed points, periodic cycles and aperiodic oscillations in population abundance without any external environmental variation. Another familiar theoretical resultâ€¦ (More)

Surveys and questionnaires are frequently used by psychologists, social scientists, and epidemiologists to collect data about behavior, attitudes, emotions, and so on. However, when asked aboutâ€¦ (More)

- Shandelle M. Henson, Robert F. Costantino, J. M. Cushing, B. Dennis, Robert A. Desharnais
- Bulletin of mathematical biology
- 1999

Mathematical models predict that a population which oscillates in the absence of time-dependent factors can develop multiple attracting final states in the advent of periodic forcing. Aâ€¦ (More)

- Robert F. Costantino, J. M. Cushing, B. Dennis, Robert A. Desharnais, Shandelle M. Henson
- Bulletin of mathematical biology
- 1998

Experiments with the flour beetle Tribolium have revealed that animal numbers were larger in cultures grown in a periodically fluctuating volume of medium than in cultures grown in a constant volumeâ€¦ (More)

Abstruct. Our approach to testing nonlinear population theory is to connect rigorously mathematical models with data by means of statistical methods for nonlinear time series. We begin by deriving aâ€¦ (More)

- S M Henson, Robert F. Costantino, J. M. Cushing, Robert A. Desharnais, B Dennis, A A King
- Science
- 2001

Animals and many plants are counted in discrete units. The collection of possible values (state space) of population numbers is thus a nonnegative integer lattice. Despite this fact, manyâ€¦ (More)

- M A T H E M A T I C A L M O D, Robert A. Desharnais, Robert F. Costantino, J. M. Cushing, Shandelle M. Henson, B. Dennis

We used small perturbations in adult numbers to control large fluctuations in the chaotic demographic dynamics of laboratory populations of the flour beetle Tribolium castaneum. A nonlinearâ€¦ (More)

- Robert F. Costantino, Robert A. Desharnais
- Monographs on Theoretical and Applied Genetics
- 1991

JEFFREY EDMUNDS*, J. M. CUSHINGâ€ , R. F. COSTANTINOâ€¡, SHANDELLE M. HENSONÂ§, BRIAN DENNISÂ¶ and R. A. DESHARNAIS** * Department of Mathematics, Mary Washington College, Fredericksburg, VA, 22401; â€ â€¦ (More)