scholarly journals Fixed Point Analysis of Kermack Mckendrick SIR Model

10.29007/pl65 ◽  
2018 ◽  
Author(s):  
Fenny Narsingani ◽  
Mahendra B Prajapati ◽  
Pravin Himmatlal Bhathawala
Keyword(s):  
Infectious Disease ◽  
Fixed Point ◽  
Threshold Value ◽  
Sir Model ◽  
Disease Spread ◽  
Term Outcome ◽  
Long Term Outcome ◽  
Point Analysis ◽  
Transmission Of Disease

Public health is constantly under risk due to growing microorganisms. Infectious disease spread rapidly among the population in contact and so people take the different steps to reduce the transmission of disease. Compartmental model such as SIR model developed by W. Kermack and G Mckendrick are modeled for the progress of epidemic. Fixed point analysis has been applied to mathematical models of compartmental infectious disease models for understanding the long term outcome of disease. We have applied the analysis to the spread of infectious disease and obtained the threshold value and this threshold value helps us to predict when epidemic peaks.

scholarly journals The clinical features and long-term prognosis of asymmetry childhood Guillain-Barré syndrome: a 5-year follow-up.

2020 ◽  
Author(s):  
Rui-Di Sun ◽  
jun Jiang
Keyword(s):  
Infectious Disease ◽  
Clinical Features ◽  
Guillain Barre Syndrome ◽  
Term Outcome ◽  
Long Term Outcome ◽  
Guillain Barré Syndrome ◽  
Motor Nerves ◽  
Long Term Prognosis ◽  
Guillain Barré

Abstract Backgroud: The aim was to investigate clinical features and long-term prognosis of asymmetric childhood Guillain-Barré syndrome (GBS). Methods: In a retrospective cohort study, standardized data from all children with GBS seen at the Wuhan Children’s Hospital were collected regarding clinical presentation, auxiliary examinations and long-term outcome. We compared asymmetry GBS with symmetry GBS. Asymmetry GBS was defined by Medical Research Council (MRC) grade and motor nerves conduction in bilateral limbs. Recovery was defined as a return to normal life with a DSS of 0. Results: GBS was diagnosed in 72 children. 12（16.67%）were asymmetry GBS compared to 60 symmetry GBS . In asymmetry GBS, six children were transient asymmetry weakness and six children were persistent asymmetry weakness. Compared to symmetry weakness GBS, asymmetry weakness GBS had more preschool children (75% vs 25%, P=0.005), longer days on hospital(26.5(15-37) days vs 11(9-15) days, p =0.000), more mechanical ventilation(MV) (50% vs 8.33%, p=0.000), higher Disease severity score(DSS)at nadir of disease(4(3-5) vs 3(1-4), p=0.010), more axonal subtypes(50% vs 15%, p=0.013) and more complications(58.33% vs 8.33%, p=0.000). Eight children had sequelae and sixty-four children had recovery. Compared to recovery group, sequelae group had more axonal subtypes(62.5% vs 15.63%, p=0.002) and more persistent asymmetry weakness(62.5% vs 4.69%, p=0.000). In six persistent asymmetry GBS, 5(83.33%) had abnormal EEG (electroencephalogram) results, 3(50%) children had mild to marked pleocytosis in CSF and 5(83.33%) had sequelae. Conclusions: In conclusion, asymmetry GBS had two types, namely transient and persistent asymmetry weakness. Asymmetry GBS indicated a more complex condition during disease. Most of persistent asymmetry GBS had clinical or subclinical infectious disease and poor prognosis. Inflammatory in anterior horn cells or nerve root by infectious disease may be the possible function in persistent asymmetry GBS.

scholarly journals Applying the chemical-reaction definition of mass action to infectious disease modelling

2020 ◽  
Vol 1 (1) ◽  
pp. 50-64
Author(s):  
Mo'tassem Al-arydah ◽  
Scott Greenhalgh ◽  
Justin Munganga ◽  
Robert Smith?
Keyword(s):  
Infectious Disease ◽  
Chemical Reaction ◽  
Reproduction Number ◽  
Disease Model ◽  
Mass Action ◽  
Law Of Mass Action ◽  
Term Outcome ◽  
Long Term Outcome ◽  
Definition Of

The law of mass action is used to govern interactions between susceptible and infected individuals in a variety of infectious disease models. However, the commonly used version is a simplification of the version originally used to describe chemical reactions. We reformulate a general disease model using the chemical-reaction definition of mass action incorporating both an altered transmission term and an altered recovery term in the form of positive exponents. We examine the long-term outcome as these exponents vary. For many scenarios, the reproduction number is either 0 or $\infty$, while it obtains finite values only for certain combinations. We found conditions under which endemic equilibria exist and are unique for a variety of possible exponents. We also determined circumstances under which backward bifurcations are possible or do not occur. The simplified form of mass action may be masking generalised behaviour that may result in practice if these exponents ``fluctuate'' around 1. This may lead to a loss of predictability in some models.

Long-term outcome of treatment with cyclosporine IV for patients with intractable ulcerative colitis

2001 ◽  
Vol 120 (5) ◽  
pp. A624-A624 ◽  
Author(s):  
J ARTS ◽  
M ZEEGERS ◽  
G DHAENS ◽  
G VANASSCHE ◽  
M HIELE ◽  
...  
Keyword(s):  
Ulcerative Colitis ◽  
Term Outcome ◽  
Long Term Outcome

1519: Long Term Outcome of Interstitial Laser Coagulation for Benign Prostatic Hyperplasia

2006 ◽  
Vol 175 (4S) ◽  
pp. 490-490
Author(s):  
Stefan Zastrow ◽  
Sven Oehlschläger ◽  
Oliver W. Hakenberg ◽  
Steffen Leike ◽  
Manfred P. Wirth
Keyword(s):  
Benign Prostatic Hyperplasia ◽  
Prostatic Hyperplasia ◽  
Laser Coagulation ◽  
Term Outcome ◽  
Long Term Outcome ◽  
Interstitial Laser

1306: Microvascular Arterial Bypass Surgery: Assessment of Long-Term Outcome

2006 ◽  
Vol 175 (4S) ◽  
pp. 420-421
Author(s):  
Gemma Viola Fantini ◽  
Andrew Nisbet ◽  
Pejman Mortarjem ◽  
Claudia Panzer ◽  
Ricardo Munarriz
Keyword(s):  
Bypass Surgery ◽  
Term Outcome ◽  
Long Term Outcome ◽  
Arterial Bypass ◽  
Arterial Bypass Surgery
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