Global stability of equilibria in a tick-borne disease model

In this short note we establish global stability results for afour-dimensional nonlinear system that was developed in modeling atick-borne disease by H.D. Gaff and L.J. Gross (Bull. Math. Biol.,69 (2007), 265--288) where local stability results wereobtained. These results provide the parameter ra...

Full description

Saved in:
Bibliographic Details
Main Author: Shangbing Ai
Format: Article
Language:English
Published: AIMS Press 2007-07-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.567
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this short note we establish global stability results for afour-dimensional nonlinear system that was developed in modeling atick-borne disease by H.D. Gaff and L.J. Gross (Bull. Math. Biol.,69 (2007), 265--288) where local stability results wereobtained. These results provide the parameter ranges for controllinglong-term population and disease dynamics.
ISSN:1551-0018