Abstract
A mathematical model of competition between m species for a single limiting resource in an n vessel gradostat is studied. It is shown that the system has no steady state coexistence in general if m > n, and there is always a saturated equilibrium which must be on the boundary of the state space. Thus the system does not exhibit any form of persistence.
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© 1991 Springer-Verlag Berlin Heidelberg
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Jäger, W., Smith, H., Tang, B. (1991). Generic Failure of Persistence and Equilibrium Coexistence in a Model of m-species Competition in an n-vessel Gradostat when m > n . In: Busenberg, S., Martelli, M. (eds) Differential Equations Models in Biology, Epidemiology and Ecology. Lecture Notes in Biomathematics, vol 92. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45692-3_14
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DOI: https://doi.org/10.1007/978-3-642-45692-3_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54283-4
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