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- Vicki Aaronson Hutson, Katharina Rose Luise Schmitt
- Mathematical biosciences
- 1992

A basic question in mathematical biology concerns the long-term survival of each component, which might typically be a population in an ecological context, of a system of interacting components. Many… (More)

- Vicki Aaronson Hutson, S. Martínez, Konstantin Mischaikow, G. T. Vickers
- Journal of mathematical biology
- 2003

A non-local model for dispersal with continuous time and space is carefully justified and discussed. The necessary mathematical background is developed and we point out some interesting and… (More)

- Josefina Piñón Hofbauer, Vicki Aaronson Hutson, W. Jansen
- Journal of mathematical biology
- 1987

The question of the long term survival of species in models governed by Lotka-Volterra difference equations is considered. The criterion used is the biologically realistic one of permanence, that is… (More)

- Vicki Aaronson Hutson, Konstantin Mischaikow, Peter Polácik
- Journal of mathematical biology
- 2001

A reaction-diffusion model for the evolution of dispersal rates is considered in which there is both spatial heterogeneity and temporal periodicity. The model is restricted to two phenotypes because… (More)

- R. Law, Vicki Aaronson Hutson
- Proceedings. Biological sciences
- 1992

Uniparental inheritance of cytoplasmic elements is widespread among eukaryotic organisms and is achieved by a diverse range of mechanisms. This paper shows that the cytoplasmic genetic system would… (More)

- Vicki Aaronson Hutson, Charles S. ReVelle
- Transportation Science
- 1989

The scalar initial value problem ut = ρDu+ f(u), is a model for dispersal. Here u represents the density at point x of a compact spatial region Ω ∈ R and time t, and u(·) is a function of t with… (More)

- Robert Stephen Cantrell, Casey C. Cosner, Vicki Aaronson Hutson
- Mathematical biosciences
- 1996

We construct reaction-diffusion models for the population dynamics of a species colonizing an island from a source population on a continent. We view the source population as inducing a density or… (More)

- Vicki Aaronson Hutson, R. Law
- Journal of mathematical biology
- 1985

We address the question of the long term coexistence of three interacting species whose dynamics are governed by the ordinary differential equations xi = xifi(i = 1,2,3). In order for any theory in… (More)

- Vicki Aaronson Hutson, R. Law
- Proceedings. Biological sciences
- 1993

Four steps through which parasitic intracellular symbionts could bring about the evolution of two sexes are considered. In the first step, a primitive host population has biparental cytoplasmic… (More)