Stationary distribution of a stochastic cholera model with imperfect vaccination

Qun Liu and Daqing Jiang

Physica A: Statistical Mechanics and its Applications, 2020, vol. 550, issue C

Abstract: In this paper, a stochastic cholera model with imperfect vaccination is proposed and investigated. We establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model by constructing a suitable stochastic Lyapunov function. Our result may provide some new insights for elimination of cholera. Some numerical simulation is provided to demonstrate our main result.

Keywords: Cholera model; Lyapunov function; Imperfect vaccination; Stationary distribution; Ergodicity (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119322307
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:550:y:2020:i:c:s0378437119322307

DOI: 10.1016/j.physa.2019.124031

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 ().