Permanence and the dynamics of biological systems.

@article{Hutson1992PermanenceAT,
  title={Permanence and the dynamics of biological systems.},
  author={Vivian Hutson and Karin Schmitt},
  journal={Mathematical biosciences},
  year={1992},
  volume={111 1},
  pages={1-71}
}
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 criteria have been used to define the notion of long-term survival. We consider here the subject of permanence, i.e., the study of the long-term survival of each species in a set of populations. These situations may often be modeled successfully by dynamical systems and have led to the development… CONTINUE READING
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