Global stability and periodic solution of the viral dynamics

It is well known that the mathematical models provide very important information for the research of human immunodeficiency virus-type 1 and hepatitis C virus (HCV). However, the infection rate of almost all mathematical models is linear. The linearity shows the simple interaction between the T cells and the viral particles. In this paper, we consider the classical mathematical model with saturation response of the infection rate. By stability analysis we obtain sufficient conditions on the parameters for the global stability of the infected steady state and the infection-free steady state. We also obtain the conditions for the existence of an orbitally asymptotically stable periodic solution. Numerical simulations are presented to illustrate the results.     

Policies for biodefense revisited: The prioritized vaccination process for smallpox

Handling bioterror events that involve contagious agents is a major concern for authorities and a cause for debate among policymakers about the best response policy. At the core of this debate stands the question which of the two post-event policies to adopt: mass vaccination or trace (also called ring or targeted) vaccination. We present a new dynamic epidemic-intervention model that captures key features of the situation and generalizes some previous assumptions regarding the probability distributions of inter-temporal parameters. It is shown that a mixture of mass and trace vaccination policies—the prioritized vaccination policy—is more effective than either of the two aforementioned policies.     

基于双纳米金探针杂交法检测HBV DNA

利用双纳米金探针结合基因芯片平台建立了一种检测乙肝病毒基因(HBV DNA)的新方法. 根据HBV DNA的保守序列设计捕获探针和信号报告探针, 通过一对互补的纳米金检测探针的双杂交法对HBV DNA进行信号放大, 最后进行银染, 达到对HBV DNA的可视化检测. 该方法的灵敏度高, 可检测10 fmol/L的HBV DNA, 且能在1.5 h内完成检测. 其具有的快速、 高灵敏度及低成本等优势使其有望发展成为一种检测HBV DNA的新方法.     

SYNTHESIS OF SOME NEW 4-AMINO-1,2,4-TRIAZOLE DERIVATIVES AS POTENTIAL ANTI-HIV AND ANTI-HBV

Some novel [1,2,4]triazolo[3,4-b][1,3,4]thiadiazolylisoindole-1,3-dione 2a–c were prepared by heating 4-amino-5-aryl-1,2,4-triazole-3-thiones 1a–c with different (1,3-dioxo-1,3-dihydro-isoindol-2-yl) carboxylic acids in POCl₃. Compounds 2a, b were hydrolyzed using HCl to yield [1,2,4]triazolo[3,4-b][1,3,4]thiadiazolyl-alkylamines 3a, b. Coupling 1a, c with 2,3,4,6-tetra-O-acetyl-α-D-glucopyranosyl bromide (ABG) afforded the corresponding S-glucosides 4a, b, which on oxidation with KMnO₄ gave the corresponding sulfone 5. Treatment 1b, c with diphenyl diazomethane afforded benzhydrylsulfanyltriazolylamines 7a, b. 1,8-Bis-(4-chloro-phenyl)-bis[1,2,4]triazolo[3,4-c-,4′,3′-e][1,2,4,5]dithiadiazine 8 was formed by oxidation of 1b with lead tetracetate. Compound 1c reacted with morpholine in the presence of KI and I₂ to give the triazolodisulfide ⁹ El-Barbary, A. A., Fahmy, M., El-Badawi, M., El-Brembaly, K. and El-Brollosi, N. R. 1991. Rev. Roum. Chim., 36(619) [Google Scholar].     

Synthesis and Antiviral Evaluation of (1,4-Disubstituted-1,2,3-Triazol)-(E)-2-Methyl-but-2-Enyl Nucleoside Phosphonate Prodrugs

A series of hitherto unknown (1,4-disubstituted-1,2,3-triazol)-(E)-2-methyl-but-2-enyl nucleosides phosphonate prodrugs bearing 4-substituted-1,2,3-triazoles were prepared in a straight approach through an olefin acyclic cross metathesis as the key synthetic step. All novel compounds were evaluated for their antiviral activities against HBV, HIV and SARS-CoV-2. Among these molecules, only compound 15j, a hexadecyloxypropyl (HDP)/(isopropyloxycarbonyl-oxymethyl)-ester (POC) prodrug, showed activity against HBV in Huh7 cell cultures with 62% inhibition at 10 μM, without significant cytotoxicity (IC₅₀ = 66.4 μM in HepG2 cells, IC₅₀ = 43.1 μM in HepG2 cells) at 10 μM.     

Immunity in the ABM-DSGE Framework for Preventing and Controlling Epidemics—Validation of Results

The COVID-19 pandemic has raised many questions on how to manage an epidemiological and economic crisis around the world. Since the beginning of the COVID-19 pandemic, scientists and policy makers have been asking how effective lockdowns are in preventing and controlling the spread of the virus. In the absence of vaccines, the regulators lacked any plausible alternatives. Nevertheless, after the introduction of vaccinations, to what extent the conclusions of these analyses are still valid should be considered. In this paper, we present a study on the effect of vaccinations within the dynamic stochastic general equilibrium model with an agent-based epidemic component. Thus, we validated the results regarding the need to use lockdowns as an efficient tool for preventing and controlling epidemics that were obtained in November 2020.     

Risk estimation of infectious diseases determines the effectiveness of the control strategy

Usually, whether to take vaccination or not is a voluntary decision, which is determined by many factors, from societal factors (such as religious belief and human rights) to individual preferences (including psychology and altruism). Facing the outbreaks of infectious diseases, different people often have different estimations on the risk of infectious diseases. So, some persons are willing to vaccinate, but other persons are willing to take risks. In this paper, we establish two different risk assessment systems using the technique of dynamic programming, and then compare the effects of the two different systems on the prevention of diseases on complex networks. One is that the perceived probability of being infected for each individual is the same (uniform case). The other is that the perceived probability of being infected is positively correlated to individual degrees (preferential case). We show that these two risk assessment systems can yield completely different results, such as, the effectiveness of controlling diseases, the time evolution of the number of infections, and so on.     

一类具有接种疫苗和再次感染的传染病模型分析

建立和研究了具有接种疫苗和再次感染的SEIRV传染病模型.给出了基本再生数的表达式,得到了模型存在后向分支的条件.