Global dynamic analysis of a model for vector-borne diseases on bipartite networks

Ruixia Zhang

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: In this paper, an SIS-SI model on bipartite networks for vector-borne disease is developed. The basic reproduction number R0 is identified and analyzed. The global dynamics are completely determined by the reproduction number R0. It is shown that if R0<1, the disease-free equilibrium is globally asymptotically stable. If R0>1, there is a unique endemic equilibrium which is globally asymptotically stable. Finally, numerical simulations are performed to validate the theoretical results and reveal the influence of network structure on basic reproduction number, the transmission scale and propagation speed.

Keywords: Vector-borne diseases; Bipartite networks; Dynamic model; Basic reproduction number; Global asymptotic stability (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119321211
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119321211

DOI: 10.1016/j.physa.2019.123813

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().