Fractional-order crime propagation model with non-linear transmission rate
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DOI: 10.1016/j.chaos.2023.113321
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- Randi Hjalmarsson & Matthew J. Lindquist, 2012. "Like Godfather, Like Son: Exploring the Intergenerational Nature of Crime," Journal of Human Resources, University of Wisconsin Press, vol. 47(2), pages 550-582.
- Xu, Rui & Ma, Zhien, 2009. "Stability of a delayed SIRS epidemic model with a nonlinear incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2319-2325.
- Naik, Parvaiz Ahmad & Zu, Jian & Owolabi, Kolade M., 2020. "Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
- Wang, Shoou-Jiun & Batta, Rajan & Rump, Christopher M., 2005. "Stability of a crime level equilibrium," Socio-Economic Planning Sciences, Elsevier, vol. 39(3), pages 229-244, September.
- Alfred Blumstein & Richard Larson, 1969. "Models of a Total Criminal Justice System," Operations Research, INFORMS, vol. 17(2), pages 199-232, April.
- Boukhouima, Adnane & Hattaf, Khalid & Lotfi, El Mehdi & Mahrouf, Marouane & Torres, Delfim F.M. & Yousfi, Noura, 2020. "Lyapunov functions for fractional-order systems in biology: Methods and applications," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
- Baba, Isa Abdullahi & Abdulkadir, Rabiu Aliyu & Esmaili, Parvaneh, 2020. "Analysis of tuberculosis model with saturated incidence rate and optimal control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
- Pritam, Kocherlakota Satya & Sugandha, & Mathur, Trilok & Agarwal, Shivi, 2021. "Underlying dynamics of crime transmission with memory," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
- Tripathi, Jai Prakash & Bugalia, Sarita & Burdak, Kavita & Abbas, Syed, 2021. "Dynamical analysis and effects of law enforcement in a social interaction model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
- Jin-Zhu Zhang & Zhen Jin & Quan-Xing Liu & Zhi-Yu Zhang, 2008. "Analysis of a Delayed SIR Model with Nonlinear Incidence Rate," Discrete Dynamics in Nature and Society, Hindawi, vol. 2008, pages 1-16, January.
- Freeman, Scott & Grogger, Jeffrey & Sonstelie, Jon, 1996. "The Spatial Concentration of Crime," Journal of Urban Economics, Elsevier, vol. 40(2), pages 216-231, September.
- Chunjin Wei & Lansun Chen, 2008. "A Delayed Epidemic Model with Pulse Vaccination," Discrete Dynamics in Nature and Society, Hindawi, vol. 2008, pages 1-12, March.
- Komal Bansal & Sugandha Arora & Kocherlakota Satya Pritam & Trilok Mathur & Shivi Agarwal, 2022. "Dynamics Of Crime Transmission Using Fractional-Order Differential Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-16, February.
- Alves, Luiz G.A. & Ribeiro, Haroldo V. & Mendes, Renio S., 2013. "Scaling laws in the dynamics of crime growth rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2672-2679.
- Nuño, Juan C. & Herrero, Miguel A. & Primicerio, Mario, 2008. "A triangle model of criminality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2926-2936.
- MarÃa J. Quinteros & Marcelo J. Villena & Abdellatif Ben Makhlouf, 2022. "On the Dynamics and Stability of the Crime and Punishment Game," Complexity, Hindawi, vol. 2022, pages 1-14, March.
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Keywords
Caputo derivative; Crime propagation; Mathematical modeling; Bifurcation; Beddington–DeAngelis rate;All these keywords.
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