Co-dynamic Model of Drug Trafficking and Money Laundering Coupled with Fractional Derivative

Abstract Drug trafficking and money laundering are nation destroyers which need rapid solution to the mayhem because the menace has ruined livelihoods and fostered vices.For this reason, the manuscript presents a novel co-dynamics fractional order system of drug trafficking and money laundering that includes susceptible individuals associated with drug trafficking only and individuals associated with both criminal acts. The paper shows that the proposed compartment system solution exists and are unique using fixed point theorems. The stability frame work of the system which is as a result of slight disturbance in the initial condition was investigated and was shown to be stable if necessary condition are satisfied. The paper also established the criminal acts free equlibrium point which is asymptotically and globally stable with the aid of basic reproduction number while criminal acts endemic equilibrium points is globally asymptotically stable using the first derivative of Lyapunov function. Furthermore, the second derivative of the Lyapunov function was used to detect the criminal acts waves. Finally, the numerical simulations are carried out to show that the proposed fractional co-dynamics model of drug trafficking and money laundering is very relevant to understanding the behaviour of these criminal acts within the society..

Medienart:

E-Artikel

Erscheinungsjahr:

2023

Erschienen:

2023

Enthalten in:

Zur Gesamtaufnahme - volume:9

Enthalten in:

International journal of applied and computational mathematics - 9(2023), 5 vom: 30. Aug.

Sprache:

Englisch

Beteiligte Personen:

Nwajeri, U. K. [VerfasserIn]
Fadugba, S. E. [VerfasserIn]
Ohaeri, E. O. [VerfasserIn]
Oshinubi, K. I. [VerfasserIn]
Ogunrinde, R. R. [VerfasserIn]
Ogunrinde, R. B. [VerfasserIn]

Links:

Volltext [lizenzpflichtig]

Themen:

Drug trafficking
Fractional derivative
Money laundering
Stability
Strength number

Anmerkungen:

© The Author(s), under exclusive licence to Springer Nature India Private Limited 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

doi:

10.1007/s40819-023-01539-x

funding:

Förderinstitution / Projekttitel:

PPN (Katalog-ID):

OLC2145321063

Zugang & Verfügbarkeit




Zugehörige Publikationen/Bände

    Haven't found what you're looking for?