【摘要】：針對(duì)感染期對(duì)院內(nèi)抗生素耐藥菌傳播的影響,結(jié)合院內(nèi)感染的特性,建立了一類(lèi)帶有感染期時(shí)滯,同時(shí)考慮患者間直接傳播及醫(yī)患間間接傳播抗生素耐藥菌的傳染病模型.引入感染期時(shí)滯的同時(shí),考慮患者經(jīng)過(guò)感染期后仍在院內(nèi)的概率為e~(-μτ).運(yùn)用確定疾病暴發(fā)閾值R_0、Routh-Hurwitz判據(jù)、Lasalle-Liapunov不變集原理等經(jīng)典方法,證明了當(dāng)R_01時(shí),對(duì)于任意的時(shí)滯τ≠0,無(wú)病平衡點(diǎn)是局部以及全局漸近穩(wěn)定的;當(dāng)R_01時(shí),地方病平衡點(diǎn)存在且唯一,對(duì)于任意的時(shí)滯τ≠0,地方病平衡點(diǎn)是局部以及全局漸近穩(wěn)定的.即在該模型中感染期時(shí)滯并不影響平衡點(diǎn)的穩(wěn)定性,并通過(guò)數(shù)值模擬驗(yàn)證了結(jié)論的正確性.
[Abstract]:In view of the influence of infection period on the transmission of antibiotic resistant bacteria in hospital and the characteristics of hospital infection, a class of infectious disease models with time delay of infection period and taking into account the direct transmission between patients and indirect transmission of antibiotic resistant bacteria between doctors and patients were established. The probability that the patient is still in hospital after infection period is e- 渭 蟿 when introducing the time lag of infection period. By using the classical methods such as determining the disease outbreak threshold R0 / Routh-Hurwitz criterion and the Lasalle-Liapunov invariant set principle, it is proved that the disease-free equilibrium is local and globally asymptotically stable for arbitrary delay 蟿 鈮，

本文編號(hào)：2338019