An unconditionally positivity-preserving implicit–explicit scheme for evolutionary stable distribution model

Chun Hua Zhang; Guang Ze Chen; Zhi Wei Fang; Xue lei Lin; Hai Wei Sun

doi:10.1016/j.cam.2021.113883

An unconditionally positivity-preserving implicit–explicit scheme for evolutionary stable distribution model

Chun Hua Zhang
, Guang Ze Chen
, Zhi Wei Fang
, Xue lei Lin
, Hai Wei Sun^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

3 Citations (Scopus)

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.

Original language	English
Article number	113883
Number of pages	10
Journal	Journal of Computational and Applied Mathematics
Volume	403
DOIs	https://doi.org/10.1016/j.cam.2021.113883
Publication status	Published - 15 Mar 2022

User-Defined Keywords

Entropy dissipation
Evolutionary stable distribution
Implicit–explicit scheme
Positivity-preserving

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10.1016/j.cam.2021.113883

Cite this

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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",

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TY - JOUR

T1 - An unconditionally positivity-preserving implicit–explicit scheme for evolutionary stable distribution model

AU - Zhang, Chun Hua

AU - Chen, Guang Ze

AU - Fang, Zhi Wei

AU - Lin, Xue lei

AU - Sun, Hai Wei

N1 - 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: © 2021 Elsevier B.V. All rights reserved.

PY - 2022/3/15

Y1 - 2022/3/15

N2 - 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.

AB - 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.

KW - Entropy dissipation

KW - Evolutionary stable distribution

KW - Implicit–explicit scheme

KW - Positivity-preserving

UR - https://www.scopus.com/pages/publications/85117888747

U2 - 10.1016/j.cam.2021.113883

DO - 10.1016/j.cam.2021.113883

M3 - Journal article

AN - SCOPUS:85117888747

SN - 0377-0427

VL - 403

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

M1 - 113883

ER -

An unconditionally positivity-preserving implicit–explicit scheme for evolutionary stable distribution model

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