https://doi.org/10.1140/epjs/s11734-024-01208-0
Regular Article
Kidnapping dynamics: a Lotka–Volterra approach with fractional order modeling
1
Department of Mathematics, Bayero University, Kano, Nigeria
2
Department of Mathematics, Near East University, Nicosia, TRNC, Turkey
3
Department of Mathematical Sciences, College of Science, UAE University, 15551, Al Ain, UAE
4
Department of Mathematics, Faculty of Science, Helwan University, 11795, Cairo, Egypt
Received:
24
April
2024
Accepted:
14
June
2024
Published online:
1
July
2024
This paper investigates the dynamics of kidnapping incidents through the application of the Lotka-Volterra model with fractional order modeling. Drawing parallels between predator–prey interactions in ecological systems and the relationship between Kidnappers and Victims, this study aims to provide insights into the complex phenomenon of kidnapping. Theoretical foundations are established through key definitions and theorems, paving the way for the construction of the model. The existence and uniqueness of solutions to the model equations are examined, followed by a stability analysis to assess the long-term dynamics of kidnapping incidents. Numerical simulations are conducted to validate the theoretical framework and explore the sensitivity of the model to different parameters and initial conditions. By employing the Lotka-Volterra model with fractional order modeling, the study gives a deeper understanding of kidnapping incidents by drawing parallels with ecological systems, allowing for a more comprehensive analysis of the complex interactions between perpetrators and victims.
Copyright comment 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.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.