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A hyperbolic reaction–diffusion model of chronic wasting disease

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Abstract

A hyperbolic reaction–diffusion model is developed in the framework of Extended Thermodynamics in order to describe the spatio-temporal dynamics of populations afflicted by chronic wasting diseases. The hyperbolic structure of the system guarantees that the wave processes occur at finite velocity, so that the paradox of instantaneous diffusion, typical of parabolic systems, is removed. The character of steady states, together with the Hopf bifurcation, are investigated through linear stability analysis. The model is integrated numerically to valuate the behavior of the populations. Finally, the propagation of acceleration waves is analyzed.

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Acknowledgements

This research was funded by Indam (GNFM) and Prin Project: No. 2017YBKNCE “Multiscale phenomena in Continuum Mechanics: singular limits, off-equilibrium and transitions.

Part of this paper was presented in the Conference ”Wascom21”.

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Authors and Affiliations

  1. Department of Mathematical, Computer, Physical and Earth Sciences, University of Messina (Italy), V.le F. Stagno D’Alcontres 31, 98166, Messina, Italy

    Elvira Barbera & Annamaria Pollino

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  1. Elvira Barbera
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  2. Annamaria Pollino
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Correspondence to Annamaria Pollino.

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Barbera, E., Pollino, A. A hyperbolic reaction–diffusion model of chronic wasting disease. Ricerche mat (2023). https://doi.org/10.1007/s11587-023-00831-8

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