Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model

Wenli Cai, Pierre Emmanuel Jabin, Hailiang Liu

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is concerned with large time behavior of solutions to a semi-discrete model involving nonlinear competition that describes the evolution of a trait-structured population. Under some threshold assumptions, the steady solution is shown unique and strictly positive, and also globally stable. The exponential convergence rate to the steady state is also established. These results are consistent with the results in [P.-E. Jabin, H. L. Liu. Nonlinearity 30 (2017) 4220-4238] for the continuous model.

Original languageEnglish (US)
Pages (from-to)2063-2087
Number of pages25
JournalMathematical Models and Methods in Applied Sciences
Volume29
Issue number11
DOIs
StatePublished - Oct 1 2019

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Applied Mathematics

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