TY - JOUR
T1 - Time-asymptotic convergence rates towards the discrete evolutionary stable distribution
AU - Cai, Wenli
AU - Jabin, Pierre Emmanuel
AU - Liu, Hailiang
N1 - Publisher Copyright:
© 2015 World Scientific Publishing Company.
PY - 2015/7/30
Y1 - 2015/7/30
N2 - This paper is concerned with the discrete dynamics of an integro-differential model that describes the evolution of a population structured with respect to a continuous trait. Various time-asymptotic convergence rates towards the discrete evolutionary stable distribution (ESD) are established. For some special ESD satisfying a strict sign condition, the exponential convergence rates are obtained for both semi-discrete and fully discrete schemes. Towards the general ESD, the algebraic convergence rate that we find is consistent with the known result for the continuous model.
AB - This paper is concerned with the discrete dynamics of an integro-differential model that describes the evolution of a population structured with respect to a continuous trait. Various time-asymptotic convergence rates towards the discrete evolutionary stable distribution (ESD) are established. For some special ESD satisfying a strict sign condition, the exponential convergence rates are obtained for both semi-discrete and fully discrete schemes. Towards the general ESD, the algebraic convergence rate that we find is consistent with the known result for the continuous model.
UR - http://www.scopus.com/inward/record.url?scp=84928759603&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84928759603&partnerID=8YFLogxK
U2 - 10.1142/S0218202515500426
DO - 10.1142/S0218202515500426
M3 - Article
AN - SCOPUS:84928759603
SN - 0218-2025
VL - 25
SP - 1589
EP - 1616
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - 8
ER -