The evolutionary limit for models of populations interacting competitively with many resources

@inproceedings{Champagnat2010TheEL,
  title={The evolutionary limit for models of populations interacting competitively with many resources},
  author={Nicolas Champagnat and Pierre-Emmanuel Jabin},
  year={2010}
}
We consider a integro-differential nonlinear model that describes the evolution of a population structured by a quantitative trait. The interactions between traits occur from competition for resources whose concentrations depend on the current state of the population. Following the formalism of [15], we study a concentration phenomenon arising in the limit of strong selection and small mutations. We prove that the population density converges to a sum of Dirac masses characterized by the… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 29 REFERENCES

Concentrations and constrained Hamilton- Jacobi equations arising in adaptive dynamics. Recent developments in nonlinear partial differential equations, 57–68

G. Barles, B. Perthame
  • Contemp. Math., 439, Amer. Math. Soc., Providence,
  • 2007
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Mathematical model of evolutionary branching

  • Mathematical and Computer Modelling
  • 2009
VIEW 1 EXCERPT

Méléard. From individual stochastic processes to macroscopic models in adaptive evolution

N. Champagnat, S. R. Ferrière
  • Stoch. Models,
  • 2008
VIEW 1 EXCERPT

Similar Papers

Loading similar papers…