Ross’ epidemic model describing the transmission of malaria uses two classes of infection, one for humans and one for mosquitoes. This paper presents a stochastic extension of a deterministic vector-borne epidemic mo...Ross’ epidemic model describing the transmission of malaria uses two classes of infection, one for humans and one for mosquitoes. This paper presents a stochastic extension of a deterministic vector-borne epidemic model based only on the class of human infectious. The consistency of the model is established by proving that the stochastic delay differential equation describing the model has a unique positive global solution. The extinction of the disease is studied through the analysis of the stability of the disease-free equilibrium state and the persistence of the model. Finally, we introduce some numerical simulations to illustrate the obtained results.展开更多
In recent years,the number of hand,foot,and mouth disease(HFMD)cases in China has continued to grow,and the disease has become a serious public health issue.Xinjiang Uygur Autonomous Region is located in the arid area...In recent years,the number of hand,foot,and mouth disease(HFMD)cases in China has continued to grow,and the disease has become a serious public health issue.Xinjiang Uygur Autonomous Region is located in the arid areas of Northwest China,where the epidemiological trend of HFMD is gradually increasing and characterized by geographical heterogeneity.In this study,based on the HFMD case data in all counties and cities in Xinjiang,we employed statistical and GIS spatial analyses,and geographic probe models to characterize the spatiotemporal differentiation of HFMD epidemics in Xinjiang during the period of 2009–2018,and quantitatively analyzed the factors influencing the spatial differentiation of HFMD epidemics.The results showed that HFMD incidence rate in Xinjiang had non-stationary temporal characteristics on the interannual and monthly scales,and the monthly variation characteristics of HFMD epidemic were quite different in southern and northern Xinjiang.The spatial distribution characteristics of HFMD epidemics showed a north–south spatial differentiation pattern with the Tianshan Mountains as the boundary;cold spot and hot spot of HFMD epidemics in Xinjiang have shifted from scattered to concentrated,and the spatial differentiation pattern had gradually stabilized.Moreover,the dominant factors influencing the spatial differentiation of HFMD epidemics in Xinjiang were socioeconomic factors,such as per capita GDP and urbanization rate,while the basic factors affecting its spatial differentiation were natural environmental factors.The spatial differentiation and evolution patterns of HFMD epidemics differed between northern and southern Xinjiang.Specifically,the leading role of socioeconomic factors is more obvious in southern Xinjiang than in northern Xinjiang,while natural environmental factors(e.g.,dryness and relative humidity)contribute to the prevalence of HFMD epidemics in northern Xinjiang,and the perturbing effect of these factors was more prominent than other factors.The results of this study can provide a scientific basis for the prevention of HFMD epidemics and early warning of HFMD epidemics in Xinjiang.展开更多
The collateral disease theory is a unique component of the theoretical system of traditional Chinese medicine(TCM),which is currently applied to all kinds of diseases related to the collaterals.With the in-depth study...The collateral disease theory is a unique component of the theoretical system of traditional Chinese medicine(TCM),which is currently applied to all kinds of diseases related to the collaterals.With the in-depth study of collaterals theory by many practitioners,its advantages in differentiating and treating gynecological diseases are gradually embodied.Based on the theory of collaterals disease,we discussed the pathogenesis,syndrome differentiation and treatment of gynecological diseases,concluded that the deficient collaterals under nourishment and the stagnant and blocked uterine collateral are the important pathogenesis of gynecological illness.Then we pointed out that invigorating the spleen and tonifying the kidney,and unblocking collateral and dissipating stasis are important treatment methods.We discussed the application of collateral disease theory in Tianjin HA's gynecology,and provided certain theoretical basis and clinical reference for the treatment of gynecologic diseases.展开更多
Along with the legends about epidemic demons,China has developed over the centuries a medical approach to epidemic diseases based on the teachings of Hucng Di Nei Jing(《黄帝内经》Huangdi s Intermnal Classic),Nan Jing...Along with the legends about epidemic demons,China has developed over the centuries a medical approach to epidemic diseases based on the teachings of Hucng Di Nei Jing(《黄帝内经》Huangdi s Intermnal Classic),Nan Jing(《难经》Classic of Difficult Issues),and Shang Han Lun(《伤寒论》Treatise on Cold Damage).Other doctors and scientists participated in this evolution of knowledge,like Wang Shuhe(王叔和),Ge Hong(葛洪),Chao Yuanfang(巢元方),Sun Simiao(孙思邈),and Liu Wansu(刘完素).However,it was in the 17^th century,after the great break of the Song,Jin,and Yuan eras that an innovative spirit,Wu Youke(吴又可1582-1652)first foresaw the existence of microorganisms as we know them now.His Wen Yi Lun(《瘟疫论》Treatise on Pestilence)foreshadows an original approach to epidemic diseases,particularly emerging infectious diseases of the 21^st century.After them,traditional Chinese medicine developed a comprehensive method of diagnosing and treating of these diseases(Epidemic Diseases Theory瘟疫学说)within the School ofHeat Diseases(温病学派).In a third article,we will examine some applications in the treatment of the SARS 2003-2004 epidemic(非典型肺炎)and the current COVID-19(新型冠状病毒肺炎)pandemic.展开更多
Along with the legends about epidemic demons,China has developed over the centuries a medical approach to epidemic diseases based on the teachings of Huang Di Nei Jing(《黄帝内经》Huangdi’s Internal Classic),Nan Jing...Along with the legends about epidemic demons,China has developed over the centuries a medical approach to epidemic diseases based on the teachings of Huang Di Nei Jing(《黄帝内经》Huangdi’s Internal Classic),Nan Jing(《难经》Classic of Difficult Issues),and Shang Han Lun(《伤寒论》Treatise on Cold Damage).Other doctors and scientists participated in this evolution of knowledge,like Wang Shuhe(王叔和),Ge Hong(葛洪),Chao Yuanfang(巢元方),Sun Simiao(孙思邈),and Liu Wansu(刘完素).However,it was in the 17th century,after the great break of the Song,Jin,and Yuan eras that an innovative spirit,Wu Youke(吴又可1582–1652)first foresaw the existence of microorganisms as we know them now.His Wen Yi Lun(《瘟疫论》Treatise on Pestilence)foreshadows an original approach to epidemic diseases,particularly emerging infectious diseases of the 21st century.After them,traditional Chinese medicine developed a comprehensive method of diagnosing and treating of these diseases(Epidemic Diseases Theory瘟疫学说)within the School of Heat Diseases(温病学派).In a third article,we will examine some applications in the treatment of the SARS 2003–2004 epidemic(非典型肺炎)and the current COVID-19(新型冠状病毒肺炎)pandemic.展开更多
文摘Ross’ epidemic model describing the transmission of malaria uses two classes of infection, one for humans and one for mosquitoes. This paper presents a stochastic extension of a deterministic vector-borne epidemic model based only on the class of human infectious. The consistency of the model is established by proving that the stochastic delay differential equation describing the model has a unique positive global solution. The extinction of the disease is studied through the analysis of the stability of the disease-free equilibrium state and the persistence of the model. Finally, we introduce some numerical simulations to illustrate the obtained results.
基金supported by the National Natural Science Foundation of China(41861037)the Third Xinjiang Scientific Expedition Program(2021xjkk0902).
文摘In recent years,the number of hand,foot,and mouth disease(HFMD)cases in China has continued to grow,and the disease has become a serious public health issue.Xinjiang Uygur Autonomous Region is located in the arid areas of Northwest China,where the epidemiological trend of HFMD is gradually increasing and characterized by geographical heterogeneity.In this study,based on the HFMD case data in all counties and cities in Xinjiang,we employed statistical and GIS spatial analyses,and geographic probe models to characterize the spatiotemporal differentiation of HFMD epidemics in Xinjiang during the period of 2009–2018,and quantitatively analyzed the factors influencing the spatial differentiation of HFMD epidemics.The results showed that HFMD incidence rate in Xinjiang had non-stationary temporal characteristics on the interannual and monthly scales,and the monthly variation characteristics of HFMD epidemic were quite different in southern and northern Xinjiang.The spatial distribution characteristics of HFMD epidemics showed a north–south spatial differentiation pattern with the Tianshan Mountains as the boundary;cold spot and hot spot of HFMD epidemics in Xinjiang have shifted from scattered to concentrated,and the spatial differentiation pattern had gradually stabilized.Moreover,the dominant factors influencing the spatial differentiation of HFMD epidemics in Xinjiang were socioeconomic factors,such as per capita GDP and urbanization rate,while the basic factors affecting its spatial differentiation were natural environmental factors.The spatial differentiation and evolution patterns of HFMD epidemics differed between northern and southern Xinjiang.Specifically,the leading role of socioeconomic factors is more obvious in southern Xinjiang than in northern Xinjiang,while natural environmental factors(e.g.,dryness and relative humidity)contribute to the prevalence of HFMD epidemics in northern Xinjiang,and the perturbing effect of these factors was more prominent than other factors.The results of this study can provide a scientific basis for the prevention of HFMD epidemics and early warning of HFMD epidemics in Xinjiang.
基金Tianjin Harsh Gynecology School Studio (Phase Ⅱ)(LPGZS2012-04)
文摘The collateral disease theory is a unique component of the theoretical system of traditional Chinese medicine(TCM),which is currently applied to all kinds of diseases related to the collaterals.With the in-depth study of collaterals theory by many practitioners,its advantages in differentiating and treating gynecological diseases are gradually embodied.Based on the theory of collaterals disease,we discussed the pathogenesis,syndrome differentiation and treatment of gynecological diseases,concluded that the deficient collaterals under nourishment and the stagnant and blocked uterine collateral are the important pathogenesis of gynecological illness.Then we pointed out that invigorating the spleen and tonifying the kidney,and unblocking collateral and dissipating stasis are important treatment methods.We discussed the application of collateral disease theory in Tianjin HA's gynecology,and provided certain theoretical basis and clinical reference for the treatment of gynecologic diseases.
文摘Along with the legends about epidemic demons,China has developed over the centuries a medical approach to epidemic diseases based on the teachings of Hucng Di Nei Jing(《黄帝内经》Huangdi s Intermnal Classic),Nan Jing(《难经》Classic of Difficult Issues),and Shang Han Lun(《伤寒论》Treatise on Cold Damage).Other doctors and scientists participated in this evolution of knowledge,like Wang Shuhe(王叔和),Ge Hong(葛洪),Chao Yuanfang(巢元方),Sun Simiao(孙思邈),and Liu Wansu(刘完素).However,it was in the 17^th century,after the great break of the Song,Jin,and Yuan eras that an innovative spirit,Wu Youke(吴又可1582-1652)first foresaw the existence of microorganisms as we know them now.His Wen Yi Lun(《瘟疫论》Treatise on Pestilence)foreshadows an original approach to epidemic diseases,particularly emerging infectious diseases of the 21^st century.After them,traditional Chinese medicine developed a comprehensive method of diagnosing and treating of these diseases(Epidemic Diseases Theory瘟疫学说)within the School ofHeat Diseases(温病学派).In a third article,we will examine some applications in the treatment of the SARS 2003-2004 epidemic(非典型肺炎)and the current COVID-19(新型冠状病毒肺炎)pandemic.
文摘Along with the legends about epidemic demons,China has developed over the centuries a medical approach to epidemic diseases based on the teachings of Huang Di Nei Jing(《黄帝内经》Huangdi’s Internal Classic),Nan Jing(《难经》Classic of Difficult Issues),and Shang Han Lun(《伤寒论》Treatise on Cold Damage).Other doctors and scientists participated in this evolution of knowledge,like Wang Shuhe(王叔和),Ge Hong(葛洪),Chao Yuanfang(巢元方),Sun Simiao(孙思邈),and Liu Wansu(刘完素).However,it was in the 17th century,after the great break of the Song,Jin,and Yuan eras that an innovative spirit,Wu Youke(吴又可1582–1652)first foresaw the existence of microorganisms as we know them now.His Wen Yi Lun(《瘟疫论》Treatise on Pestilence)foreshadows an original approach to epidemic diseases,particularly emerging infectious diseases of the 21st century.After them,traditional Chinese medicine developed a comprehensive method of diagnosing and treating of these diseases(Epidemic Diseases Theory瘟疫学说)within the School of Heat Diseases(温病学派).In a third article,we will examine some applications in the treatment of the SARS 2003–2004 epidemic(非典型肺炎)and the current COVID-19(新型冠状病毒肺炎)pandemic.