Year: 2023
Type: preprint
Abstract: This paper is concerned with traveling waves to an diffusive SIR model with delay placed in the diffusion terms as well as nonlinear incidence rate with delay. Using a cross iteration scheme and partial monotone conditions it will be shown that the existence of quasi upper and lower solutions is a sufficient condition for the existence of a traveling wave front. This will be shown via Schauder's fixed point theorem. Given an appropriate basic reproduction number the traveling wave front will flow from a disease-free steady state to endemic steady state. The construction of quasi upper and lower solutions will be carried out for a specific model.
Source: arXiv (Cornell University)
Author: Barker, William Kyle
Institution: University of Arkansas at Little Rock
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: green
OpenAlex ID: W4387928543