dc.contributor.author |
Wake, G |
en |
dc.contributor.author |
Pleasants, A |
en |
dc.contributor.author |
Beedle, Alan |
en |
dc.contributor.author |
Gluckman, Peter |
en |
dc.coverage.spatial |
New Zealand |
en |
dc.date.accessioned |
2011-03-09T23:53:11Z |
en |
dc.date.issued |
2010-02-25 |
en |
dc.identifier.citation |
Mathematical Biosciences and Engineering 7(3):719-728 Article number mbe.2010.7.719 25 Feb 2010 |
en |
dc.identifier.issn |
1547-1063 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/6600 |
en |
dc.description.abstract |
In some species, an inducible secondary phenotype will develop some time after the environmental change that evokes it. Nishimura (2006) [4] showed how an individual organism should optimize the time it takes to respond to an environmental change (“waiting time”). If the optimal waiting time is considered to act over the population, there are implications for the expected value of the mean fitness in that population. A stochastic predator-prey model is proposed in which the prey have a fixed initial energy budget. Fitness is the product of survival probability and the energy remaining for non-defensive purposes. The model is placed in the stochastic domain by assuming that the waiting time in the population is a normally distributed random variable because of biological variance inherent in mounting the response. It is found that the value of the mean waiting time that maximises fitness depends linearly on the variance of the waiting time. |
en |
dc.description.uri |
http://hdl.handle.net/10179/2099 |
en |
dc.language |
English |
en |
dc.publisher |
American Institute of Mathematical Sciences |
en |
dc.relation.ispartofseries |
Mathematical Biosciences and Engineering |
en |
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/1547-1063/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.title |
A model for phenotype change in a stochastic framework |
en |
dc.type |
Journal Article |
en |
dc.identifier.doi |
10.3934/mbe.2010.7.719 |
en |
pubs.issue |
3 |
en |
pubs.begin-page |
719 |
en |
pubs.volume |
7 |
en |
dc.rights.holder |
Copyright: American Institute of Mathematical Sciences (AIMS) |
en |
pubs.author-url |
http://www.aimsciences.org/journals/displayArticles.jsp?paperID=5260%20DOI:10.3934/mbe.2010.7.719 |
en |
pubs.end-page |
728 |
en |
pubs.publication-status |
Published |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
206431 |
en |
pubs.number |
mbe.2010.7.719 |
en |
pubs.record-created-at-source-date |
2011-02-23 |
en |