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Dynamics of Crime Transmission Using Fractional-Order Differential Equations

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dc.contributor.author Mathur, Trilok
dc.contributor.author Agarwal, Shivi
dc.date.accessioned 2023-08-09T03:48:16Z
dc.date.available 2023-08-09T03:48:16Z
dc.date.issued 2022
dc.identifier.uri https://www.worldscientific.com/doi/abs/10.1142/S0218348X22500128
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11239
dc.description.abstract Due to the alarming rise in types of crime committed and the number of criminal activities across the world, there is a great need to amend the existing policies and models adopted by jurisdictional institutes. The majority of the mathematical models have not included the history of the crime committed by the individual, which is vital to control crime transmission in stipulated time. Further, due to various external factors and policies, a considerable number of criminals have not been imprisoned. To address the aforementioned issues prevailing in society, this research proposes a fractional-order crime transmission model by categorizing the existing population into four clusters. These clusters include law-abiding citizens, criminally active individuals who have not been imprisoned, prisoners, and prisoners who completed the prison tenure. The well-posedness and stability of the proposed fractional model are discussed in this work. Furthermore, the proposed model is extended to the delayed model by introducing the time-delay coefficient as time lag occurs between the individual’s offense and the judgment. The endemic equilibrium of the delayed model is locally asymptotically stable up to a certain extent, after which bifurcation occurs. en_US
dc.language.iso en en_US
dc.publisher World Scientific en_US
dc.subject Mathematics en_US
dc.subject Fractional Differential Equation en_US
dc.subject Mathematical Modeling en_US
dc.subject Crime Transmission en_US
dc.subject Delay Model en_US
dc.title Dynamics of Crime Transmission Using Fractional-Order Differential Equations en_US
dc.type Article en_US


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