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Atto-foxes and other minutiae

Abstract:

This paper addresses the problem of extinction in continuous models of population dynamics associated with small numbers of individuals. We begin with an extended discussion of extinction in the particular case of a stochastic logistic model, and how it relates to the corresponding continuous model. Two examples of ‘small number dynamics’ are then considered. The first is what Mollison calls the ‘atto-fox’ problem (in a model of fox rabies), referring to the problematic theoretical occurrence...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s11538-021-00936-x

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-2062-6372
Publisher:
Springer Publisher's website
Journal:
Bulletin of Mathematical Biology Journal website
Volume:
83
Article number:
104
Publication date:
2021-08-31
Acceptance date:
2021-08-13
DOI:
EISSN:
1522-9602
ISSN:
0092-8240
Language:
English
Keywords:
Pubs id:
1190796
Local pid:
pubs:1190796
Deposit date:
2021-08-13

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