Abstract
Mathematical models of Zika virus dynamics are relatively new, and they mostly focus on either vector and horizontal, or vector and vertical transmission only. In this work,we first revisit a recent model that considers vector and vertical transmission, and we provide an alternative proof on the global stability of the disease-free equilibrium point. Then, a new and general model is presented which includes vector, horizontal and vertical transmission. For this new model, existence of both a disease-free and an endemic equilibrium is studied. Using matrix and graph-theoretic methods, appropriate Lyapunov functions are constructed and results on the global stability properties of both equilibria are established.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1515/msds-2019-0002
Rights Information
© 2019 The authors, published by De Gruyter. This work is licensed under the Creative Commons Attribution alone 4.0 License.
Keywords
Disease epidemics, dynamical systems, global stability, Lyapunov functions
Publication Date
1-1-2021
Recommended Citation
Bessey, K., M. Mavis, J. Rebaza, and J. Zhang. "Global stability analysis of a general model of Zika virus." Nonautonomous Dynamical Systems 6, no. 1 (2019): 18-34.
Journal Title
Nonautonomous Dynamical Systems
