Entire solutions of a public goods game model. Issue 8 (24th May 2022)

• Record Type: Journal Article
• Authors: Wang, Lina; Zhang, Yinli; Wu, Yanxia
• Is Part Of: Applicable analysis. Volume 101:Issue 8(2022)
• Page Start: 2937
• Page End: 2948
• Publication Date: 2022-05-24
• Subjects: M. Mei; Entire solution -- traveling front -- sub-super solution; 35K57 -- 35B08 -- 35B40; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2020.1829603
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : This paper is concerned with the entire solutions defined in the whole space and for all time t ∈ R of a public good game model. The existence of the entire solutions is proved by super- and sub-solution method. Traveling fronts with possibly different wave speeds are used to construct the super- and sub-solutions, in particular, the traveling fronts of a variant of KPP equation are used to derive the t < 0 part of the super solutions.