Volume 46, Issue 6 pp. 7353-7367
RESEARCH ARTICLE

A traveling wave with a buffer zone for asymptotic behavior of an asymmetric fixed credit migration model

Jin Liang

Jin Liang

School of Mathematical Sciences, Tongji University, Shanghai, 200092 China

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Yang Lin

Corresponding Author

Yang Lin

School of Mathematical Sciences, Tongji University, Shanghai, 200092 China

Correspondence

Yang Lin, School of Mathematical Sciences, Tongji University, Shanghai 200092, China.

Email: [email protected]

Communicated by: I. Nizovtseva

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First published: 26 December 2022

Funding information: This work is supported by National Natural Science Foundation of China (No. 12071349).

Abstract

In this paper, we introduce a new traveling wave with a buffer zone, which is approached by an asymmetric credit migration model with fixed migration boundary. The asymptotic behavior of the solution of the model is discussed. By constructing two sets of sub and super solutions sequences, it is proved that the solution of the credit rating migration model approaches the new traveling wave with buffer zone as time goes to infinite in a direction. Additionally, some numerical results are presented.

CONFLICT OF INTEREST

The authors declare no conflict of interest.

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