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Modeling the dynamics of information propagation in the temporal and spatial environment

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Communications in Theoretical Physics 2023年第9期75卷 22-35页

作者： Yi Zhang linhe Zhu School of Mathematical Sciences Jiangsu UniversityZhenjiang212013China

In this paper, we try to establish a non-smooth susceptible–infected–recovered(SIR) rumor propagation model based on time and space dimensions. First of all, we prove the existence and uniqueness of the solution. Secondly, we divide the system into two parts and discuss the existence of equilibrium points for each of them. For the left part, we define R_(0) to study the relationship between R_(0) and the existence of equilibrium points. For the right part, we classify many different cases by discussing the coefficients of the equilibrium point equation. Then, on this basis, we perform a bifurcation analysis of the non-spatial system and find conditions that lead to the existence of saddle-node bifurcation. Further, we consider the effect of diffusion. We specifically analyze the stability of equilibrium points. In addition, we analyze the Turing instability and Hopf bifurcation occurring at some equilibrium points. According to the Lyapunov number, we also determine the direction of the bifurcation. When I = I_(c), we discuss conditions for the existence of discontinuous Hopf bifurcation. Finally, through numerical simulations and combined with the practical meaning of the parameters, we prove the correctness of the previous theoretical theorem.

关键词： non-smooth system rumor propagation Turing instability Hopf bifurcation

Modeling the COVID-19 epidemic and awareness diffusion on multiplex networks

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Communications in Theoretical Physics 2021年第3期73卷 14-22页

作者： Le He linhe Zhu School of Mathematical Sciences Jiangsu UniversityZhenjiang212013China

The coronavirus disease 2019(COVID-19)has been widely spread around the world,and the control and behavior dynamics are still one of the important research directions in the *** on the characteristics of COVID-19’s spread,a coupled disease-awareness model on multiplex networks is proposed in this paper to study and simulate the interaction between the spreading behavior of COVID-19 and related *** the layer of epidemic spreading,the nodes can be divided into five categories,where the topology of the network represents the physical contact relationship of the *** topological structure of the upper network shows the information interaction among the nodes,which can be divided into aware and unaware *** will make people play a positive role in preventing the epidemic diffusion,influencing the spread of the *** on the above model,we have established the state transition equation,through the microscopic Markov chain approach(MMCA),and proposed the propagation threshold calculation method under the epidemic ***,MMCA iteration and the Monte Carlo method are simulated on the static network and dynamic network,*** current results will be beneficial to the study of COVID-19,and propose a more rational and effective model for future research on epidemics.

关键词： COVID-19 Multiplex network Awareness spread Propagation threshold

Simultaneous catalytic removal of NOx and diesel PM over La_(0.9) K_(0.1) CoO_3 catalyst assisted by plasma

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Journal of Environmental Sciences 2005年第2期17卷 220-223页

作者： PEIMei-xiang linhe SHANGGUANWen-feng HUANGZhen InstituteofInternalCombustionEngine ShanghaiJiaotongUniversityShanghai200030China

The simultaneous removal of NOx and particulate matter(PM) from diesel exhaust is investigated over a mixed metal oxide catalyst of La 0.9 K 0.1 CoO 3 loaded on γ-Al 2O 3 spherules with the assistant of plasma. It was found that NOx was reduced by PM in oxygen rich atmosphere, the CO 2 and N 2 were produced in the same temperature window without considering the N 2 formed by plasma decomposition. As a result, the temperature for the PM combustion decreases and the reduction efficiency of NOx to N 2 increases during the plasma process, which indicated that the activity of the catalyst can be improved by plasma. The NOx is decomposed by plasma at both low temperature and high temperature. Therefore, the whole efficiency of NOx conversion is enhanced.

关键词： simultaneous removal plasma assisted catalysis NOx PM diesel

Effect of integrated traditional Chinese and Western medicine on SARS:A review of clinical evidence

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World Journal of Gastroenterology 2004年第23期10卷 3500-3505页

作者： Ming-MingZhang Xue-MeiLiu linhe ChineseEvidence-BasedMedicineCenter WestChinaHospitalSichuanUniversityChengdu610041SichuanProvinceChina EditorialDepartment ChineseJournalofEvidenceBasedMedicineChineseEvidence-BasedMedicineCenterWestChinaHospitalSichuanUniversityChengdu610041SichuanProvinceChina LibraryofWestChinaHospital SichuanUniversityChengdu610041SichuanProvinceChina

AIM: To assess the possible effect of integrated traditional Chinese and Western medicine on severe acute respiratory ***: The current available randomized controlled trials of integrated tradilJonal Chinese and Western medicine on SARS were identified through systematically searching literature in any languages or any types of *** studies of gray literature were also *** quality of studies was evaluated by two investigators independently based largely on the quality criteria specified CONSORT. Statistical analysis of the results was performed using RevMan 4.2.0 software developed by the Cochrane ***: Six studies (n = 366) fulfilling the inclusion criteria were found, of which the quality of one study was graded as B, the remaining five were graded as C. Two studies were performed with meta-analysis, the other four studies existed some heterogeneity for which meta-analysis could not be performed, a significant effect on lung infiltrate absorption was found in the treatment groups of these two studies [RR 6.68, 95% CI (2.93, 15.24), P<0.01], there was no significant differences between the mortality [RR 0.86, 95% CI (0.22, 3.29), P = 0.82] and the average dosage of corticosteroid [WMD -39.65, 95% CI (-116.84, 37.54),P = 0.31]. The other three studies also showed significant differences in infiltrate absorption, including national drug No. 2. 3.4 in combination with Western medicine [RR 5.45,95% CI (1.54, 19.26)], compound formulas NO. 1 combined with Western medicine [WMD 0.24, 95% CI (0.02, 0.46)],compound formulas combined with Western medicine [RR 8.06, 95% CI (0.40, 163.21)]. Kangfeidian No.4 in combination with Western medicine had no significant effect on symptomim provement such as loss of dyspnea and cough [RR 1.50,95%CI (0.41, 5.43)] and [RR 1.29, 95%C1 (0.30, 5.43)].CONCLUSION: Integrated traditional Chinese and Westernm edicines has some positive effects on lung infiltrate absorption in SARS pat

关键词：中医西医 SARS 临床作用呼吸系统

Study of Turing patterns in a SI reaction-diffusion propagation system based on network and non-network environments

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International Journal of Biomathematics 2024年第1期17卷 199-225页

作者： Yuxuan Tang Shuling Shen linhe Zhu School of Mathematical Sciences Jiangsu University Zhenjiang212013P.R.China Department of Stomatology Afiliated Hospital of Jiangsu University Zhenjiang 210008P.R.China

The study of rumor propagation dynamics is of great significance to *** news and ensure the authenticity of news *** this paper,a SI reaction-diffusion rumor propagation model with nonlinear saturation incidence is ***,through stability analysis,we obtain the conditions for the existence and local stability of the positive equilibrium *** selecting suitable variable as the control parameter,the critical value of Turing bifurcation and the existence theorem of Turing bifurcation are ***,using the above theorem and multi-scale standard analysis,the expression of amplitude equation around Turing bifurcation point is *** analyzing the amplitude equation,different types of Turing pattern are divided such as uniform steady-state mode,hexagonal mode,stripe mode and mixed structure ***,in the numerical simulation part,by observing different patterns corresponding to different values of control variable,the correctness of the theory is ***,the effects of different network structures on patterns are *** results show that there are significant differences in the distribution of users on different network structures.

关键词： Reaction-diffusion system rumor propagation amplitude equation Turing pattern

Removal of NOx from flue gas with radical oxidation combined with chemical scrubber

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Journal of Environmental Sciences 2004年第3期16卷 462-465页

作者： linhe GAOXiang LUOZhong-yang GUANShi-pian CENKe-fa HUANGZhen InstituteforInternal-CombustionEngine ShanghaiJiaotongUniversityShanghai200030China InstituteforThermalPowerEnergy ZhejiangUniversity.Hangzhou310027China

In this paper, removal of NOx(namely DeNOx) from flue gas by radical injection combined with NaOH solution(26% by weight of NaOH in water) scrubbing was investigated. The experimental results showed that the steady streamer corona occurs through adjusting the flow rate of the oxygen fed into the nozzles electrode. The vapor in the oxygen has influence on the V I characteristics of corona discharge. Both HNO 2 and HNO 3 come into being in the plasma reactor and the DeNOx efficiency in the plasma reactor is more than 60%. The overall DeNOx efficiency of the whole system reaches 81 7% when the NaOH solution scrubbing is collaborated.

关键词： radical plasma reactor DeNOx process absorb

Removal of NO_x by radical injection

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Chinese Science Bulletin 2004年第18期49卷 1991-1995页

作者： linhe GAOXiang LUOZhongyang CENKefa PEIMeixiang HUANGZhen InstituteforInternal-CombustionEngine ShanghaiJiaoTongUniversityShanghai200030China InstituteforThermalPowerEnergy ZhejiangUniversity.Hangzhou310027China

Removal of NOx ( DeNOx, NOx is the total of NO and NO2) from flue gas by radical injection has been investigated . The discharge characteristics were examined and the steady streamer corona was acquired by adjusting the nozzle gases properly. It was found that an increase in the voltage resulted in a decrease in the NO concentration and the concentration of the NO2 increased at low voltages but decreased as the voltage rose to a certain level. The DeNOx efficiency increased as the applied voltage rose and reached a maximum of 70% when the voltage approached the break-down voltage. The hypothetical mechanism of NOx removal suggested that the radicals formed in the discharge process converted the NO and NO2 into acidic species. The Monte Carlo method was used to calculate the rate coefficients and the productivity of the radicals, and then the concentrations of both NO and NO2 and the DeNOx efficiencies were calcu-lated with chemical kinetics. The calculated DeNOx efficien-cies were comparable with the experimental DeNOx efficien-cies at low voltages, but were lower at high voltages.

关键词： NOx 自由基注射法 DeNOx 烟道气还原方法大气污染等离子体

VASCULAR ENDOTHELIAL INJURIES AND CHANGES OF BLOOD COAGULATION AND FIBRINOLYSIS INDEXES IN PATIENTS WITH ACUTE RESPIRATORY DISTRESS SYNDROME

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Chinese Medical Sciences Journal 2004年第4期19卷 252-256页

作者： Xiao-linhe ZhiLiu Shu-yueXia DepartmentofEmergency theFirstAffiliatedHospitalChinaMedicalUniversityShenyang110001 DivisionofRespirology DepartmentofMedicineCentralHospitalofShenyangMedicalCollegeShenyang110024 DepartmentofEmergency theFirstAffiliatedHospitalChinaMedicalUniversityShenyang110001／／DivisionofRespirologyDepartmentofMedicineCentralHospitalofShenyangMedicalCollegeShenyang110024

Objective To study endothelial damage by observing changes of circulating endothelial cells (CECs) in blood, coagula-tion and fibrinolysis index in patients with acute respiratory distress syndrome. Methods CECs were separated by isopycnic centrifugation method in 14 patients with acute lung injury (ALI), 7 patients with acute respiratory distress syndrome (ARDS), 10 intensive care unit (ICU) controls, and 15 healthy controls. Plasma prothrombin time (PT), activated partial thromboplastin time (APTT), fibrinogen (FG), fibrin degradation products (FDP), and D-dimer were examined simultaneously. Acute physiology and chronic health evaluation (APACHE)Ⅱand lung injury score (LIS) were recorded to evaluate severity of illness and lung injury. Results (1) The number of CECs in ALI (10.4 ±2.3) and ARDS groups (16.1 ±2.7) was higher than that in the healthy (1.9 ±0.5) (P< 0.01). In both ALI and ARDS, the number of CECs correlated with APACHEⅡ(r=0.55, P< 0.05 and r=0.62, P< 0.05, respectively)and LIS (r=0.60, P< 0.05 and r=0.53, P< 0.05, respectively). CEC number was negatively correlated with PaO 2 in ALI and ARDS (r=-0.49, P< 0.05 and r=-0.64, P< 0.05, respectively). (2) The level of FDP and D-dimer were higher in ALI and ARDS patients than that in ICU and healthy control groups (P< 0.05). The level of FG in ARDS group was significantly higher than in the ICU and healthy control groups (P< 0.05). But in ALI group, the level of FG was significantly higher than only healthy control group (P< 0.05). Conclusions Endothelial cell damage occurs in ARDS patients, which may play a major role in the pathophysiology of ARDS. Changes of endothelial cell activation and damage markers, such as CECs, plasma coagulation and fibrinolysis index, to some extent reflect severity of illness and lung injury in ARDS.

关键词： acute respiratory distress syndrome endothelial cell fibrinogen fibrin D-dimer

Vehicle State and Bias Estimation Based on Unscented Kalman Filter with Vehicle Hybrid Kinematics and Dynamics Models

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Automotive Innovation 2023年第4期6卷 571-585页

作者： Shouren Zhong Yang Zhao linhe Ge Zitong Shan Fangwu Ma State Key Laboratory of Automotive Simulation and Control Jilin UniversityChangchun 130022China

In recent years,vehicle state estimation methods incorporating different vehicle models have received extensive *** the vehicle is disturbed by external forces not considered in traditional vehicle models(for example,a certain slope,or wind resistance different from theoretical calculation),the problem of model mismatch will occur,which leads to the inaccurate estimation of the vehicle *** solve this problem,an Unscented Kalman Filter(UKF)algorithm is used to fuse inertial navigation data with the vehicle hybrid model in this *** hybrid model introduces a switching strategy that fuses the vehicle kinematics and the dynamics models while augmenting biases that need to be estimated in the vehicle *** switching strategy resolves the integration divergence problem of vehicle dynamics models at low speeds and the inaccurate estimation of vehicle kinematics models at high *** experiments demonstrate that the proposed method can accurately estimate biases induced by external forces,enhancing the accuracy and confidence of states by eliminating errors caused by these *** robustness of the method is validated in vehicle verification platform experiments,where errors in vehicle lateral speed and yaw rate are reduced by 9.7 cm/s and 0.012°/s,respectively,under large curvature maneuvers,and 9.6 cm/s and 0.004°/s under quarter-turn *** proposed method significantly improves lateral speed and vehicle position accuracies.

关键词： Vehicle state estimation Vehicle hybrid models Unscented Kalman filter Integration stability