The energy-intensive industrial economy results in frequent Fog-Haze weather which increases the risk of influenza spread and brings new challenges for the prevention and control of influenza.Therefore,the study of sp...The energy-intensive industrial economy results in frequent Fog-Haze weather which increases the risk of influenza spread and brings new challenges for the prevention and control of influenza.Therefore,the study of spread mechanics and controlling strategies of influenza based on Fog-Haze will be scientifically meaningful.Considering that when the concentration of Fog-Haze is low,Fog-Haze contributes to the number of infectious individuals and Fog-Haze suppresses the transmission of the influenza virus when the concentration of Fog-Haze is high,we establish the Fog-Haze dynamics model.Then we prove the global existence and boundedness of the solution,and the global asymptotic stability of the solution is given by constructing a suitable Lyapunov functional.Under the Fog-Haze weather,we study the inffuenza virus transmission model that incorporates the incidence rate to reflect the Fog-Haze-dependent saturation effect and investigate the effect of Fog-Haze pollution on the transmission of influenza.We show that the basic reproduction number R_(0) determines the global dynamics of the system:if R_(0)<1,the disease-free equilibrium is global asymptotically stable;the unique endemic equilibrium is global asymptotically stable if R_(0)>1.Simulations are carried out to validate the theoretical results.Our study provides further understanding of the dynamics of Fog-Haze and the effect of Fog-Haze pollution on the transmission of influenza.展开更多
基金supported by the National Natural Science Foundation of China (12171291,11601291,61873154)the Fund Program for the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Province (20200001)+5 种基金the Fundamental Research Program of Shanxi Province (20210302124018)the Shanxi Scholarship Council of China (HGKY2019004)the Scientific and Technological Innovation Programs (STIP)of Higher Education Institutions in Shanxi (2019L0082)the Program for the Outstanding Innovative Teams (OIT)of Higher Learning Institutions of Shanxithe Simons Foundation-Mathematics and Physical Sciences (523360)the 1331 Engineering Project of Shanxi Province.
文摘The energy-intensive industrial economy results in frequent Fog-Haze weather which increases the risk of influenza spread and brings new challenges for the prevention and control of influenza.Therefore,the study of spread mechanics and controlling strategies of influenza based on Fog-Haze will be scientifically meaningful.Considering that when the concentration of Fog-Haze is low,Fog-Haze contributes to the number of infectious individuals and Fog-Haze suppresses the transmission of the influenza virus when the concentration of Fog-Haze is high,we establish the Fog-Haze dynamics model.Then we prove the global existence and boundedness of the solution,and the global asymptotic stability of the solution is given by constructing a suitable Lyapunov functional.Under the Fog-Haze weather,we study the inffuenza virus transmission model that incorporates the incidence rate to reflect the Fog-Haze-dependent saturation effect and investigate the effect of Fog-Haze pollution on the transmission of influenza.We show that the basic reproduction number R_(0) determines the global dynamics of the system:if R_(0)<1,the disease-free equilibrium is global asymptotically stable;the unique endemic equilibrium is global asymptotically stable if R_(0)>1.Simulations are carried out to validate the theoretical results.Our study provides further understanding of the dynamics of Fog-Haze and the effect of Fog-Haze pollution on the transmission of influenza.
