A model for phenotype change in a stochastic framework

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dc.contributor.authorWake GC
dc.date.accessioned2011-01-25T20:16:19Z
dc.date.accessioned2016-03-06T22:26:27Z
dc.date.availableNO_RESTRICTION
dc.date.available2011-01-25T20:16:19Z
dc.date.available2016-03-06T22:26:27Z
dc.date.issued2008
dc.description.abstractIn 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.
dc.identifier.citationWake, G., Pleasants, A., Beedle, A., & Gluckman, P. (2010). A model for phenotype change in a stochastic framework. Mathematical Biosciences and Engineering, 7(3), 719-728.
dc.identifier.harvestedMassey_Dark
dc.identifier.harvestedMassey_Dark
dc.identifier.issn1547-1063
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.isbasedonhttp://www.aimsciences.org/journals/displayArticles.jsp?paperID=5260 DOI:10.3934/mbe.2010.7.719
dc.relation.isformatofhttp://dx.doi.org/10.3934/mbe.2010.7.719
dc.subjectInducible defence
dc.subjectFitness
dc.subjectPhenotypic plasticity
dc.subjectStochasticity
dc.subjectWaiting time
dc.subject.otherFields of Research::230000 Mathematical Sciences::230100 Mathematics
dc.titleA model for phenotype change in a stochastic framework
dc.typeother
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