Dynamical behaviors of a stochastic malaria model: A case study for Yunnan, China

Lei Wang, Zhidong Teng, Chunyan Ji, Xiaomei Feng and Kai Wang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 521, issue C, 435-454

Abstract: In this paper, we investigate dynamical behaviors for a stochastic malaria model by introducing the effect of environmental white noise on transmission dynamics of malaria. Firstly, the distance between stochastic solutions and the disease-free equilibrium of the corresponding deterministic model is estimated in the time mean sense by constructing stochastic Lyapunov functions. Particularly, by the comparison theorem of stochastic differential equations and the law of large numbers, sufficient conditions for the extinction of the disease are obtained in the special case. Next, the existence of the unique ergodic stationary distribution is proved by constructing a suitable Lyapunov function. Finally, the model is used to simulate the human malaria data in Yunnan province and predict the trend of malaria in Yunnan.

Keywords: Stochastic malaria model; Itô formula; Stochastic Lyapunov function; Extinction; Stationary distribution (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437118315437
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:521:y:2019:i:c:p:435-454

DOI: 10.1016/j.physa.2018.12.030

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 ().