@article{bd50bbddc73d44618bc18584f3a592f1,
title = "An unconditionally positivity-preserving implicit–explicit scheme for evolutionary stable distribution model",
abstract = "In this paper, we study the numerical solution for the evolutionary stable distribution (ESD) model. A new implicit–explicit scheme is proposed to discretize the ESD model, which can keep the numerical solution unconditionally positive at each time step. Moreover, it is theoretically proved that the proposed scheme satisfies the property of the entropy dissipation. Numerical experiments are carried out to demonstrate the numerical accuracy and the effectiveness of the proposed scheme.",
keywords = "Entropy dissipation, Evolutionary stable distribution, Implicit–explicit scheme, Positivity-preserving",
author = "Zhang, {Chun Hua} and Chen, {Guang Ze} and Fang, {Zhi Wei} and Lin, {Xue lei} and Sun, {Hai Wei}",
note = "This work was supported in part by the Science and Technology Research Project of Jiangxi Provincial Education Department of China (no. GJJ200919) and initial fund for Doctors (EA202007384), the National Natural Science Foundation of China (nos. 62041604, 11801259), the Natural Science Foundation of Jiangxi Province of China (nos. 20202BABL201009, 20202BABL212005), research grants of the Science and Technology Development Fund, Macau SAR (file no. 0122/2020/A3), and University of Macau (file no. MYRG2020-00224-FST). Publisher Copyright: {\textcopyright} 2021 Elsevier B.V. All rights reserved.",
year = "2022",
month = mar,
day = "15",
doi = "10.1016/j.cam.2021.113883",
language = "English",
volume = "403",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier B.V.",
}