北京建筑大学学报
北京建築大學學報
북경건축대학학보
Journal of Beijing Institute of Civil Engineering and Architecture
2014年
3期
64-69
,共6页
潘艳雪%王晓静%许传青
潘豔雪%王曉靜%許傳青
반염설%왕효정%허전청
传染病模型%媒体播报%时滞%稳定性理论%数值模拟
傳染病模型%媒體播報%時滯%穩定性理論%數值模擬
전염병모형%매체파보%시체%은정성이론%수치모의
epidemical model%media coverage%delay%stability%numerical simulation
建立一类具有时滞和媒体播报双重效应的流感模型。利用微分方程稳定性理论和时滞微分方程理论,证明了系统解的正性,无病平衡点和地方病平衡点的存在性和局部稳定性,并且通过数值模拟验证了时滞和媒体播报对流感传播和控制的影响。
建立一類具有時滯和媒體播報雙重效應的流感模型。利用微分方程穩定性理論和時滯微分方程理論,證明瞭繫統解的正性,無病平衡點和地方病平衡點的存在性和跼部穩定性,併且通過數值模擬驗證瞭時滯和媒體播報對流感傳播和控製的影響。
건립일류구유시체화매체파보쌍중효응적류감모형。이용미분방정은정성이론화시체미분방정이론,증명료계통해적정성,무병평형점화지방병평형점적존재성화국부은정성,병차통과수치모의험증료시체화매체파보대류감전파화공제적영향。
A model of influenza with time delay and media coverage is established. Based on the stability theory of differential equation and the theory of time-delay differential equation, the positive of the solutions is proved; the existence and local stability of both the disease-free and the endemic equilibria are also obtained. Furthermore, the numerical simulations show the impact of time-delay and media coverage on the spread and control of influenza disease.