慢性消耗性疾病的双曲线反应-扩散模型

IF 1.1 4区数学 Q1 MATHEMATICS

Ricerche di Matematica Pub Date : 2023-12-09 DOI:10.1007/s11587-023-00831-8

Elvira Barbera, Annamaria Pollino

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引用次数: 0

摘要

本文在扩展热力学的框架内建立了一个双曲线反应-扩散模型，以描述慢性消耗性疾病患者的时空动态。该系统的双曲结构保证了波过程以有限速度发生，从而消除了抛物线系统中典型的瞬时扩散悖论。通过线性稳定性分析，研究了稳定状态的特征以及霍普夫分岔。对模型进行数值积分，以评估种群的行为。最后，分析了加速波的传播。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A hyperbolic reaction–diffusion model of chronic wasting disease

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A hyperbolic reaction–diffusion model of chronic wasting disease

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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来源期刊

Ricerche di Matematica Mathematics-Applied Mathematics

CiteScore

3.00

自引率

8.30%

发文量

期刊介绍： “Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.