A compact containment result for nonlinear historical superprocess approximations for population models with trait-dependence

  title={A compact containment result for nonlinear historical superprocess approximations for population models with trait-dependence},
  author={Sandra Kliem},
  journal={Electronic Journal of Probability},
  • Sandra Kliem
  • Published 5 May 2014
  • Mathematics
  • Electronic Journal of Probability
We consider an approximating sequence of interacting population models with branching, mutation and competition. Each individual is characterized by its trait and the traits of its ancestors. Birth- and death-events happen at exponential times. Traits are hereditarily transmitted unless mutation occurs. The present model is an extension of the model used in [Meleard and Tran, EJP, 2012], where for large populations with small individual biomasses and under additional assumptions, the diffusive… 
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  • EJP
  • 2014
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