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- Title
Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model.
- Authors
Cai, Wenli; Jabin, Pierre-Emmanuel; Liu, Hailiang
- 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. Nonlinearity30 (2017) 4220–4238] for the continuous model.
- Subjects
INTEGRO-differential equations; RATES
- Publication
Mathematical Models & Methods in Applied Sciences, 2019, Vol 29, Issue 11, p2063
- ISSN
0218-2025
- Publication type
Article
- DOI
10.1142/S0218202519500404