Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions

  title={Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions},
  author={H. Liu and W. Cai and N. Su},
  journal={SIAM J. Numer. Anal.},
  • H. Liu, W. Cai, N. Su
  • Published 2015
  • Mathematics, Computer Science
  • SIAM J. Numer. Anal.
  • In this paper, we present entropy satisfying schemes for solving an integro-differential equation that describes the evolution of a population structured with respect to a continuous trait. In [P.-E. Jabin and G. Raoul, J. Math. Biol., 63 (2011), pp. 493--517] solutions are shown to converge toward the so-called evolutionary stable distribution (ESD) as time becomes large, using the relative entropy. At the discrete level, the ESD is shown to be the solution to a quadratic programming problem… CONTINUE READING
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