The Linear Stability and Basic Reproduction Numbers for Autonomous FDEs
Dynamical Systems
2023-02-27 v1
Abstract
In this paper, we first prove the stability equivalence between a linear autonomous and cooperative functional differential equation (FDE) and its associated autonomous and cooperative system without time delay. Then we present the theory of basic reproduction number for general autonomous FDEs. As an illustrative example, we also establish the threshold dynamics for a time-delayed population model of black-legged ticks in terms of .
Cite
@article{arxiv.2302.12613,
title = {The Linear Stability and Basic Reproduction Numbers for Autonomous FDEs},
author = {Xiao-Qiang Zhao},
journal= {arXiv preprint arXiv:2302.12613},
year = {2023}
}