In this paper,a new generalized non-monotonic and saturated incidence rate was introduced into a susceptible-infected-susceptible(SIS)epidemic model to account for inhibitory effect and crowding effect.The dynamic pro...In this paper,a new generalized non-monotonic and saturated incidence rate was introduced into a susceptible-infected-susceptible(SIS)epidemic model to account for inhibitory effect and crowding effect.The dynamic properties of the model were studied by qualitative theory and bifurcation theory.It is shown that when the infuence of psychological factors is large,the model has only disease-free equilibrium point,and this disease-free equilibrium point is globally asymptotically stable;when the influence of psychological factors is small,for some parameter conditions,the model has a unique endemic equilibrium point,which is a cusp point of co-dimension two,and for other parameter conditions the model has two endemic equilibrium points,one of which could be weak focus or center.In addition,the results of the model undergoing saddle-node bifurcation,Hopf bifurcation and Bogdanov-Takens bifurcation as the parameters vary were also proved.These results shed light on the impact of psychological behavior of susceptible people on the disease transmission.展开更多
配电网信息物理系统(cyber physical system for distribution networks,CPSDN)是自动化技术、信息技术和通信技术与电网的深度融合产物。其与传统通信系统规划的一个显著区别在于CPS系统内的网元异构性。基于数据场理论,建立了CPS广义...配电网信息物理系统(cyber physical system for distribution networks,CPSDN)是自动化技术、信息技术和通信技术与电网的深度融合产物。其与传统通信系统规划的一个显著区别在于CPS系统内的网元异构性。基于数据场理论,建立了CPS广义节点质量模型,数学量化了节点差异,进而定义CPS势函数,以系统可靠性为测度建立配电网CPS规划问题的势均衡数学模型。对该规划问题,提出改进的二进制粒子群算法进行求解。采用IEEE LVNTS算例及实际电网算例计算,实验表明所建立模型和算法符合配电网CPS系统规划,所提出方法规划CPS网络,可准确辨识网络关键节点,建立高可靠性CPS网络拓扑,实现效能的提升。展开更多
This research focused on the three-dimensional(3 D) seepage field simulation of a high concrete-faced rockfill dam(CFRD) under complex hydraulic conditions. A generalized equivalent continuum model of fractured rock m...This research focused on the three-dimensional(3 D) seepage field simulation of a high concrete-faced rockfill dam(CFRD) under complex hydraulic conditions. A generalized equivalent continuum model of fractured rock mass was used for equivalent continuous seepage field analysis based on the improved node virtual flow method. Using a high CFRD as an example, the generalized equivalent continuum range was determined, and a finite element model was established based on the terrain and geological conditions, as well as structural face characteristics of the dam area. The equivalent seepage coefficients of different material zones or positions in the dam foundation were calculated with the Snow model or inverse analysis. Then, the 3 D seepage field in the dam area was calculated under the normal water storage conditions, and the corresponding water head distribution, seepage flow, seepage gradient, and seepage characteristics in the dam area were analyzed. The results show that the generalized equivalent continuum model can effectively simulate overall seepage patterns of the CFRD under complex hydraulic conditions and provide a reference for seepage analysis of similar CFRDs.展开更多
基金supported by the NSF of China[Grant No.11961021]the NSF of Guangdong province[Grant Nos.2022A1515010964 and 2022A1515010193]+1 种基金the Innovation and Developing School Project of Guangdong Province[Grant No.2019KzDXM032]the Special Fund of Science and Technology Innovation Strategy of Guangdong Province[Grant Nos.pdjh2022b0320 and pdjh2023b0325].
文摘In this paper,a new generalized non-monotonic and saturated incidence rate was introduced into a susceptible-infected-susceptible(SIS)epidemic model to account for inhibitory effect and crowding effect.The dynamic properties of the model were studied by qualitative theory and bifurcation theory.It is shown that when the infuence of psychological factors is large,the model has only disease-free equilibrium point,and this disease-free equilibrium point is globally asymptotically stable;when the influence of psychological factors is small,for some parameter conditions,the model has a unique endemic equilibrium point,which is a cusp point of co-dimension two,and for other parameter conditions the model has two endemic equilibrium points,one of which could be weak focus or center.In addition,the results of the model undergoing saddle-node bifurcation,Hopf bifurcation and Bogdanov-Takens bifurcation as the parameters vary were also proved.These results shed light on the impact of psychological behavior of susceptible people on the disease transmission.
文摘配电网信息物理系统(cyber physical system for distribution networks,CPSDN)是自动化技术、信息技术和通信技术与电网的深度融合产物。其与传统通信系统规划的一个显著区别在于CPS系统内的网元异构性。基于数据场理论,建立了CPS广义节点质量模型,数学量化了节点差异,进而定义CPS势函数,以系统可靠性为测度建立配电网CPS规划问题的势均衡数学模型。对该规划问题,提出改进的二进制粒子群算法进行求解。采用IEEE LVNTS算例及实际电网算例计算,实验表明所建立模型和算法符合配电网CPS系统规划,所提出方法规划CPS网络,可准确辨识网络关键节点,建立高可靠性CPS网络拓扑,实现效能的提升。
基金supported by the National Natural Science Youth Foundation of China(Grant No.51309101)the Henan Province Major Scientific and Technological Projects(Grant No.172102210372)the Cooperative Project of Production,Teaching and Research in Henan Province(Grant No.18210700031)
文摘This research focused on the three-dimensional(3 D) seepage field simulation of a high concrete-faced rockfill dam(CFRD) under complex hydraulic conditions. A generalized equivalent continuum model of fractured rock mass was used for equivalent continuous seepage field analysis based on the improved node virtual flow method. Using a high CFRD as an example, the generalized equivalent continuum range was determined, and a finite element model was established based on the terrain and geological conditions, as well as structural face characteristics of the dam area. The equivalent seepage coefficients of different material zones or positions in the dam foundation were calculated with the Snow model or inverse analysis. Then, the 3 D seepage field in the dam area was calculated under the normal water storage conditions, and the corresponding water head distribution, seepage flow, seepage gradient, and seepage characteristics in the dam area were analyzed. The results show that the generalized equivalent continuum model can effectively simulate overall seepage patterns of the CFRD under complex hydraulic conditions and provide a reference for seepage analysis of similar CFRDs.
