Minimal Wave Speed for a Nonlocal Viral Infection Dynamical Model

To provide insights into the spreading speed and propagation dynamics of viruses within a host, in this paper, we investigate the traveling wave solutions and minimal wave speed for a degenerate viral infection dynamical model with a nonlocal dispersal operator and saturated incidence rate. It is fo...

Full description

Saved in:
Bibliographic Details
Published in:Fractal and fractional 2024-03, Vol.8 (3), p.135
Main Authors: Ren, Xinzhi, Liu, Lili, Zhang, Tianran, Liu, Xianning
Format: Article
Language:English
Subjects:
Diffusion rate
Dynamic models
Fixed points (mathematics)
Health aspects
Health care
Hepatitis B
HIV
Human immunodeficiency virus
Infections
Lower bounds
Lyapunov functional
Mathematical models
nonlocal dispersal
Rescaling
rescaling method
Simulation methods
Spreading
Steady state
traveling wave solution
Traveling waves
viral infection model
Viral infections
Viruses
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:To provide insights into the spreading speed and propagation dynamics of viruses within a host, in this paper, we investigate the traveling wave solutions and minimal wave speed for a degenerate viral infection dynamical model with a nonlocal dispersal operator and saturated incidence rate. It is found that the minimal wave speed c∗ is the threshold that determines the existence of traveling wave solutions. The existence of traveling fronts connecting a virus-free steady state and a positive steady state with wave speed c≥c∗ is established by using Schauder’s fixed-point theorem, limiting arguments, and the Lyapunov functional. The nonexistence of traveling fronts for c
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract8030135