About the Authors

Jiraphat Yokrattanasak

jibeau17@gmail.com

Affiliations Department of Mathematics, Mahidol University, Bangkok 10400, Thailand, Center of Excellence in Mathematics, Bangkok 10400, Thailand

Andrea De Gaetano

Affiliation Institute of System Analysis and Informatics (IASI) “A. Ruberti”, National Research Council (CNR), Rome, Italy

Simona Panunzi

Affiliation Institute of System Analysis and Informatics (IASI) “A. Ruberti”, National Research Council (CNR), Rome, Italy

Pairote Satiracoo

Affiliations Department of Mathematics, Mahidol University, Bangkok 10400, Thailand, Center of Excellence in Mathematics, Bangkok 10400, Thailand

Wayne M. Lawton

Affiliation School of Mathematics and Statistics, University of Western Australia, Perth, Australia

Yongwimon Lenbury

Affiliations Department of Mathematics, Mahidol University, Bangkok 10400, Thailand, Center of Excellence in Mathematics, Bangkok 10400, Thailand

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: JY ADG SP WML. Analyzed the data: JY ADG SP PS YL. Wrote the paper: JY ADG. Model design: JY ADG SP WML. Model verification: JY ADG SP. Discussed the results: JY ADG SP PS YL. Revised manuscript: JY ADG SP PS WML YL.