Re-equilibration on Higher Level E1 (Phase 4)

  • Donald A. Dawson
  • Andreas Greven
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2092)

Abstract

Having now handled phases 0,1,2,3, in this section we are concerned with Phase 4 (recall Subsubsection 4.2.1 for the five phases scenario), that is, the time regime in which the mean-field model on spatial level 2 is concentrated on the second fitness level (E 1 types) and approaches a McKean–Vlasov mutation-selection equilibrium but before the emergence of the third fitness level (E 2-types) in a typical spatial 1-ball. This will then also serve as Phase 0 for the transition E 1E 2 in a model at spatial scale 2 which will be considered in the next section.

Keywords

Fitness Level Path Space Martingale Problem Exponential Moment Uniform Topology 
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References

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Donald A. Dawson
    • 1
  • Andreas Greven
    • 2
  1. 1.School of Mathematics and StatisticsCarleton UniversityOttawaCanada
  2. 2.Department MathematikUniversität Erlangen-Nürnberg Mathematisches InstitutErlangenGermany

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