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Reaction-diffusion models of crimo–taxis in a street

Author

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  • Inferrera, G.
  • Munafò, C.F.
  • Oliveri, F.
  • Rogolino, P.

Abstract

In this paper, two reaction-diffusion models describing the interaction among susceptible people (ordinary citizens), infective people (drug users/dealers), and law enforcement personnel are analyzed. The models here considered are a generalization of the crimo-taxis model originally proposed by Epstein in 1997. The modifications allow us to describe various scenarios. We analyze the equilibrium points, together with their stability, of the homogeneous system. Moreover, according to the Turing approach to reaction–diffusion models, we investigate the instability driven processes and the emergence of patterns in the complete models.

Suggested Citation

  • Inferrera, G. & Munafò, C.F. & Oliveri, F. & Rogolino, P., 2024. "Reaction-diffusion models of crimo–taxis in a street," Applied Mathematics and Computation, Elsevier, vol. 467(C).
    • Handle: RePEc:eee:apmaco:v:467:y:2024:i:c:s0096300323006732
    DOI: 10.1016/j.amc.2023.128504
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    References listed on IDEAS

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    1. Duan, Moran & Chang, Lili & Jin, Zhen, 2019. "Turing patterns of an SI epidemic model with cross-diffusion on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    2. Sergei Petrovskii & Weam Alharbi & Abdulqader Alhomairi & Andrew Morozov, 2020. "Modelling Population Dynamics of Social Protests in Time and Space: The Reaction-Diffusion Approach," Mathematics, MDPI, vol. 8(1), pages 1-19, January.
    3. Bagarello,Fabio, 2019. "Quantum Concepts in the Social, Ecological and Biological Sciences," Cambridge Books, Cambridge University Press, number 9781108492126, September.
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