Analysis of the SAITS alcoholism model on scale-free networks with demographic and nonlinear infectivity

Autor:	Hong Xiang, Fang-Fang Cui, Hai-Feng Huo
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	alcoholism scale-free networks demographic stability nonlinear infectivity Environmental sciences GE1-350 Biology (General) QH301-705.5
Zdroj:	Journal of Biological Dynamics, Vol 13, Iss 1, Pp 621-638 (2019)
Druh dokumentu:	article
ISSN:	1751-3758 1751-3766 17513758
DOI:	10.1080/17513758.2019.1683629
Popis:	A more realistic alcoholism model on scale-free networks with demographic and nonlinear infectivity is introduced in this paper. The basic reproduction number $R_{0} $ is derived from the next-generation method. Global stability of the alcohol-free equilibrium is obtained. The persistence of our model is also derived. Furthermore, the SAITS model with nonlinear infectivity is also investigated. Stability of all the equilibria and persistence are also obtained. Some numerical simulations are also presented to verify and extend our theoretical results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f4dff6de0f5d42f4b298c70ff5dab754 Zobrazit plný text záznamu View record in DOAJ