TY - JOUR
T1 - Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model
AU - Cai, Wenli
AU - Jabin, Pierre Emmanuel
AU - Liu, Hailiang
N1 - Funding Information:
Cai was supported partially by the National Natural Science Foundation of China (Nos. 11701557 and 11701556), Foreign Expert Projects (Nos. BG20190001019 and T2018060), and the Fundamental Research Funds for the Central Universities (No. 2016QS01). Liu was supported by the National Science Foundation under Grant DMS1812666 and by NSF Grant RNMS (Ki-Net) 1107291, and Jabin was partially supported by NSF Grants DMS 1614537, DMS 1908739 and by NSF Grant RNMS (Ki-Net) 1107444.
Publisher Copyright:
© 2019 World Scientific Publishing Company.
PY - 2019/10/1
Y1 - 2019/10/1
N2 - 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.
AB - 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.
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U2 - 10.1142/S0218202519500404
DO - 10.1142/S0218202519500404
M3 - Article
AN - SCOPUS:85072200647
SN - 0218-2025
VL - 29
SP - 2063
EP - 2087
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - 11
ER -