Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Constable, George W. A."'
Complex system stability can be studied via linear stability analysis using Random Matrix Theory (RMT) or via feasibility (requiring positive equilibrium abundances). Both approaches highlight the importance of interaction structure. Here we show, an
Externí odkaz:
http://arxiv.org/abs/2211.12949
Fluctuation spectra of large random dynamical systems reveal hidden structure in ecological networks
Understanding the relationship between complexity and stability in large dynamical systems -- such as ecosystems -- remains a key open question in complexity theory which has inspired a rich body of work developed over more than fifty years. The vast
Externí odkaz:
http://arxiv.org/abs/2011.05140
Publikováno v:
R. Soc. open sci. 7: 192126 (2020)
Sexual reproduction is not always synonymous with the existence of two morphologically different sexes; isogamous species produce sex cells of equal size, typically falling into multiple distinct self-incompatible classes, termed mating types. A long
Externí odkaz:
http://arxiv.org/abs/1906.07117
Publikováno v:
J. Stat. Phys. 172, 3-43 (2018)
We describe a continuous-time modelling framework for biological population dynamics that accounts for demographic noise. In the spirit of the methodology used by statistical physicists, transitions between the states of the system are caused by indi
Externí odkaz:
http://arxiv.org/abs/1707.08235
Publikováno v:
Phys. Rev. E 96, 022416 (2017)
The relationship between the M-species stochastic Lotka-Volterra competition (SLVC) model and the M-allele Moran model of population genetics is explored via timescale separation arguments. When selection for species is weak and the population size i
Externí odkaz:
http://arxiv.org/abs/1704.07565
Akademický článek
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Publikováno v:
Proc. Natl. Acad. Sci., 113:E4745-E4754 (2016)
Deterministic evolutionary theory robustly predicts that populations displaying altruistic behaviours will be driven to extinction by mutant cheats that absorb common benefits but do not themselves contribute. Here we show that when demographic stoch
Externí odkaz:
http://arxiv.org/abs/1608.03471
Publikováno v:
Phys. Rev. E 91, 032711, 2015
We construct an individual-based metapopulation model of population genetics featuring migration, mutation, selection and genetic drift. In the case of a single `island', the model reduces to the Moran model. Using the diffusion approximation and tim
Externí odkaz:
http://arxiv.org/abs/1412.6474
Publikováno v:
Phys. Rev. Lett. 114, 038101 (2015)
The relationship between the Moran model and stochastic Lotka-Volterra competition (SLVC) model is explored via timescale separation arguments. For neutral systems the two are found to be equivalent at long times. For systems with selective pressure,
Externí odkaz:
http://arxiv.org/abs/1407.8477
Autor:
Constable, George W A, McKane, Alan J
Publikováno v:
J. Theor. Biol. Vol 358, Pages 149-165, 2014
We analyse a model consisting of a population of individuals which is subdivided into a finite set of demes, each of which has a fixed but differing number of individuals. The individuals can reproduce, die and migrate between the demes according to
Externí odkaz:
http://arxiv.org/abs/1402.2564