Analysis of SEIR Epidemic Model Engraft with Incompatible Incidence Rate
Sumit Kumar Banerjee,
Boaz Andrews
Issue:
Volume 8, Issue 3, September 2023
Pages:
37-41
Received:
13 February 2023
Accepted:
9 March 2023
Published:
18 September 2023
Abstract: A passivity SEIR epidemic model with inconsistent incidence rate embedded with latency period for the imparting dynamics of epidemics is succeed and thoroughly inspected. The problem is constructed by a system of nonlinear ordinary differential equations analyzing the evaluation of susceptible, exposed, infected and removed individuals. The suggested model is established in terms of existence, positivity and boundedness of solutions. Four equilibrium points have been discussed, namely, the disease free equilibrium, endemic equilibrium with respect to strain 1, endemic equilibrium with respect to strain 2 and the terminal endemic equilibrium with respect to both strains. By constructing the suitable stability analysis function the global stability of the disease free equilibrium is proved depending on the basic reproduction number. Furthermore by using other well-known functionals the global stability results of the endemic equilibria are established depending on the strain 1 reproduction number and strain 2 reproduction number. Necessary numerical simulations are performed in order to confirm the theoretical results. Numerical comparison between the model results and clinical data was conducted. The findings of this research includes the model consistence of discordant compartments which are globally asymptotically stable aseptic equilibrium in state have an epidemiological threshold value (also known as basic reproduction rate) less than unity.
Abstract: A passivity SEIR epidemic model with inconsistent incidence rate embedded with latency period for the imparting dynamics of epidemics is succeed and thoroughly inspected. The problem is constructed by a system of nonlinear ordinary differential equations analyzing the evaluation of susceptible, exposed, infected and removed individuals. The suggest...
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Correlation Analysis Between Maternal Age and Pathogenic Copy Number Variations in Prenatal Diagnosis
Huang Shun-ting,
Yuan Si-min,
Zhong Hui-zhu,
Yi Cui-xing,
Li Ru,
Zhang Yong-ling,
Fu Fang,
Zhou Hang,
Yang Xin
Issue:
Volume 8, Issue 3, September 2023
Pages:
42-47
Received:
11 May 2023
Accepted:
2 June 2023
Published:
25 September 2023
Abstract: Objective: To investigate the correlation between maternal age and pathogenic copy number variations (pCNVs) in prenatal diagnosis. Method: This is a retrospective study, from 2009.6 to 2022.4, thirty-five thousand and seventeen invasive procedures have been performed due to high risk of down syndrome screening, advanced maternal age, ultrasound structural defects and so on. All the pregnant information, clinical indications and outcome of prenatal diagnosis were recorded in our prenatal database. The correlation between maternal age and chromosomal abnormalities/pathogenic copy number variations was analyzed by binary logistics regression. Results: In 35017 prenatal samples, karyotyping was performed in 34676 cases, which showed chromosomal abnormalities in 2704 cases (7.80%, 2704/34676). CMA was performed in 5041 cases, which showed chromosomal abnormalities in 646 cases (12.81%, 646/5041) including 233 pathogenic copy number variations (4.96%, 233/4700). The detection rate of CMA was significantly higher than that of karyotyping (P=0.000, X2=143.437). In this study, karyotyping and CMA were both performed in 4700 cases, which showed a 4.36% (205/4700) increase in chromosomal abnormalities detected by CMA compared with karyotyping. By regression analysis, the incidence of chromosomal abnormalities increased significantly with the increase of the maternal age (P=0.000; Exp (B)=1.055; CI 95% 1.048-1.062). However, the proportion of pCNVs decreased greatly (P=0.000; Exp (B)=0.947; CI 95% 0.921-0.974). Conclusion: The detection rate of CMA was higher than traditional karyotype analysis in prenatal diagnosis. There was a significant correlation between maternal age and chromosomal abnormalities, but the incidence of pathogenic copy number variations did not increase with the increase of the maternal age.
Abstract: Objective: To investigate the correlation between maternal age and pathogenic copy number variations (pCNVs) in prenatal diagnosis. Method: This is a retrospective study, from 2009.6 to 2022.4, thirty-five thousand and seventeen invasive procedures have been performed due to high risk of down syndrome screening, advanced maternal age, ultrasound st...
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