Qualitative Analysis for an HIV Infection Model with Caspase-1-Mediated Pyroptosis of the Predominance: Threshold Dynamics and Traveling Waves

• Autores: Ran Zhang, Jiangxue Xu, Jinliang Wang
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 4, 2023
• Idioma: inglés
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• Resumen

  • In this paper, we investigate the global threshold-type result and traveling waves for a general HIV infection model involving CD4+ T cell death caused by caspase-1- mediated pyroptosis of the predominance. We first give the well-posedness of the model and establish the existence of a global attractor. In a bounded domain, the basic reproduction number, denoted by 0, is identified as a threshold parameter for indicating whether the infection occurs or not. Specifically, if 0 < 1, then the system admits a globally asymptotically stable infection-free steady state; if 0 > 1, the system is uniformly persistent. In an unbounded domain and homogeneous environment, we find that if 0 > 1 and wave speed is large enough, the system admits traveling wave solutions.