新疆大学学报(自然科学版)
新疆大學學報(自然科學版)
신강대학학보(자연과학판)
XINJIANG UNIVERSITY JOURNAL(NATURAL SCIENCE EDITION)
2015年
2期
157-164
,共8页
葛清%滕志东%夏米西努尔
葛清%滕誌東%夏米西努爾
갈청%등지동%하미서노이
随机传染病模型%Jump干扰%布朗运动%全局正解%渐近行为
隨機傳染病模型%Jump榦擾%佈朗運動%全跼正解%漸近行為
수궤전염병모형%Jump간우%포랑운동%전국정해%점근행위
Stochastic epidemic model%Jump noise%Brownian motion%Global positive solution%Asymptotic behavior
研究了带有Jump干扰的SIRS随机传染病模型。通过利用Lyapunov函数的方法,证明了当初始条件为正值时,模型有唯一的全局正解。并且调查了围绕着无病平衡点及地方病平衡点的解的渐近行为。
研究瞭帶有Jump榦擾的SIRS隨機傳染病模型。通過利用Lyapunov函數的方法,證明瞭噹初始條件為正值時,模型有唯一的全跼正解。併且調查瞭圍繞著無病平衡點及地方病平衡點的解的漸近行為。
연구료대유Jump간우적SIRS수궤전염병모형。통과이용Lyapunov함수적방법,증명료당초시조건위정치시,모형유유일적전국정해。병차조사료위요착무병평형점급지방병평형점적해적점근행위。
In this paper, the dynamics behavior of a stochastic SIRS epidemic model with jumps is studied. By us-ing the Lyapunov function method, we show that the model has unique global positive solution with the positive initial value. Then, the asymptotic behavior of solutions around the disease-free equilibrium and endemic equilibrium of the deterministic model is investigated.