Mathematical modeling and optimal control of the impact of rumors on the banking crisis

• Autorzy: Tadmon Calvin , Njike-Tchaptchet Eric Rostand

Identyfikatory

DOI

10.1515/dema-2022-0007

• Języki publikacji: EN

Abstrakty

EN

The bank run phenomenon, mostly due to rumor spread about the financial health of given financial institutions, is prejudicious to the stability of financial systems. In this paper, by using the epidemiological approach, we propose a nonlinear model for describing the impact of rumor on the banking crisis spread. We establish conditions under which the crisis dies out or remains permanent. We also solve an optimal control problem focusing on the minimization, at the lowest cost, of the number of stressed banks, as well as the number of banks undergoing the restructuring process. Numerical simulations are performed to illustrate theoretical results obtained.

Słowa kluczowe

EN

nonautonomous differential equation; banking crisis; rumor spread; optimal control

PL

równanie różnicowe; kryzys bankowy; optymalna kontrola

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 90--118
• Opis fizyczny: Bibliogr. 31 poz., tab., wykr.

Twórcy

autor

Tadmon Calvin

• Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang-Cameroon, Cameroon

autor

Njike-Tchaptchet Eric Rostand

• Department of Mathematics and Computer Science, Faculty of Science, University of Dschang, P.O. Box 67, Dschang-Cameroon, Cameroon

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).