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Sylvie Méléard- Multiscale Eco-Evolutionary Models- From Individuals to Populations
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- 1 Intro
- 2 Adaptation and Evolution for asexual populations
- 3 Some motivating questions
- 4 The individual based model
- 5 Transitions
- 6 Large population, time scale (1)
- 7 Large population, Rare mutations, Evolution time scale
- 8 Intermediary horizontal transfer rates
- 9 To capture the emergence of evolutionary cyclic behavior Discretized soy model
- 10 Exponents for binary branching processes (BP)
- 11 Case of three traits
- 12 Main result
- 13 Derivation of a Hamiton Jacobi equation from the individual base model