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Dynamics Analysis of a Stochastic SIS Epidemic Modelwith Nonlinear Incidence and Birth Pulses(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2016年03期
Page:
10-
Research Field:
·特约稿·
Publishing date:

Info

Title:
Dynamics Analysis of a Stochastic SIS Epidemic Modelwith Nonlinear Incidence and Birth Pulses
Author(s):
Jiang Guirong1; Yang Kun2; Lin Jiao3
（1.College of Electronic Information and Automation，Guilin University of Aerospace Technology，Guilin 541004，China）（2.Sanmenxia Foreign Language High School，Sanmenxia，472000，China）（3.School of Mathematics and Statics，Baise University，Baise 533000，China）
Keywords:
stochastic SIS epidemic model; nonlinear incidence; birth pulses; Lyapunov function
PACS:
O175.1
DOI:
10.3969/j.issn.1001-4616.2016.03.002
Abstract:
A stochastic SIS epidemic model with nonlinear incidence and birth pulses is investigated in this paper. The existence and uniqueness of the global positive solution are proved by establishing Lyapunov function. The sufficient condition for stochastic extinction of the infection is gained. The sufficient condition for the stochastically exponentially asymptotically stability of infection-free solution is gained by using the Lyapunov exponents.

References:

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Last Update: 2016-09-30