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In this paper, an SEWIR epidemic model with the government control rate and infectious force in latent period is proposed. The conditions to the existence and uniqueness of disease-free and endemic equilibrium points in the SEWIR model are obtained. By using the Hurwitz criterion, the locally asymptotic stability of disease-free and endemic equilibrium points is proved. We show the global asymptotic stability of the disease-free equilibrium point by the construction of Lyapunov function and LaSalle invariance principle. The globally asymptotic stability of the endemic equilibrium is verified by numerical simulation. Several optimal control strategies are proposed on controlling infectious diseases.
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Enfermedades Transmisibles , Epidemias , Enfermedades Transmisibles/epidemiología , Simulación por Computador , Humanos , Modelos BiológicosRESUMEN
Motion sickness is a series of physiological responses in human being caused by abnormal movement stimulation. With the development of science and technology, a growing number of people choose to travel by high speed vehicles. Motion sickness happens more frequently. A large number of non-drug and drug intervention methods have been reported in the treatment of motion sickness. This article provides an overview on the research developments in the prevention and treatment of motion sickness in order to provide new ideas for drug research.
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[Objective] To analyze the phenomena and characteristics of the mutations in 24 short tandem repeat (STR) loci. [Methods] A total of 5 084 parentage confirmed cases were analyzed. The mutation events were screened. The sources of mutant alleles were ascertained. The mutation rates of STR loci were calculated. The rule and feature of mutation were analyzed. [Results] A total of 172 mutation events were observed in 24 STR loci. The mutation rate was between 0-0.492%. The number of mutation loci was between 1 and 3 for 1 case. The mutation model was accordant with stepwise mutation model. The maximum mutation step was four. In addition, the ratio of paternal versus maternal mutation was 3.55:1. [Conclusion] STR mutation events were common in paternity testing. The information of mutated STR loci should be considered and included when calculating PI value.
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Objective To investigate the significance of expression of toll-like receptor on medullary system cell and endothelial cell surface in PMN recruiting in severe acute pancreatitis.Method In this study,26 C3H/He-J mice and 26 C3H/He-N mice were derided into 4 groups by bone marrow transplantation:group A, mosaic of medullary system cell TLR4-/- and endothelial cell TLR4+/+,group B, mosaic of medullary system cell TLR4+/+ and endothelial cell TLR4-/- ;group C, homozygote ofTLR4+/+ ;group D, homozygote of TLR4-/-. SAP was induced to all these mice. Amylase, TRIA of granular cell in peripheral blood,TRL4 expression in pancreas, Naphthol AS-D chloroacetate esterase, MPO activity were tested. Results Amylase level increased in all mice, there was no differences of the amylase level among groups, TRIA of granular cell in peripheral blood in group B and C was significant higher than A and D(P<0.05), TLR4 in pancreas were positive in group A and C, negative in group B and D, AS-D count and M PO activity in group A and C were higher than that in group B and D (P < 0. 05 ). Conclusions It was endothelial cell, not peripheral blood granulocyte, that plays a key role in recuiting neutrophils that triggers severe acute pancreatitis.