- #Latin hypercube sampling and infectious diseases manual
- #Latin hypercube sampling and infectious diseases software
- #Latin hypercube sampling and infectious diseases free
#Latin hypercube sampling and infectious diseases manual
This manual covers the use of the LHS code in a UNIX environment, run either as a standalone program or as a callable library. This version runs on Linux or UNIX platforms.
#Latin hypercube sampling and infectious diseases software
This software has been developed to generate Latin hypercube multivariate samples. This document is a reference guide for the UNIX Library/Standalone version of the Latin Hypercube Sampling Software. If this is done repeatedly, with many input samples drawn, one can build up a distribution of the output as well as examine correlations between input and output variables.« lessĪ user's guide to Sandia's latin hypercube sampling software : LHS UNIX library/standalone version. Many simulation codes have input parameters that are uncertain and can be specified by a distribution, To perform uncertainty analysis and sensitivity analysis, random values are drawn from the input parameter distributions, and the simulation is run with these values to obtain output values. In some cases, the pairing is restricted to obtain specified correlations amongst the input variables.
A sample is selected at random with respect to the probability density in each interval, If multiple variables are sampled simultaneously, then values obtained for each are paired in a random manner with the n values of the other variables. Inmore » LHS, the range of each variable is divided into non-overlapping intervals on the basis of equal probability. LHS is a constrained Monte Carlo sampling scheme. LHS UNIX Library/Standalone uses the Latin Hypercube Sampling method (LHS) to generate samples. The LHS samples can be generated either as a callable library (e.g., from within the DAKOTA software framework) or as a standalone capability. Multiple distributions can be sampled simultaneously, with user-specified correlations amongst the input distributions, LHS UNIX Library/ Standalone provides a way to generate multi-variate samples. It performs the sampling by a stratified sampling method called Latin Hypercube Sampling (LHS). The LHS UNIX Library/Standalone software provides the capability to draw random samples from over 30 distribution types. 2013 1 - 13, 2013.Latin Hypercube Sampling (LHS) UNIX Library/Standalone
"Nonlinear Pulse Vaccination in an SIR Epidemic Model with Resource Limitation." Abstr. The implications of our findings with respect to disease control are discussed. Furthermore, when the pulse vaccination period is chosen as a bifurcation parameter, the SIR model with nonlinear pulse vaccination reveals complex dynamics including period doubling, chaotic solutions, and coexistence of multiple attractors. Once the threshold value exceeds a critical level, both susceptible and infected populations can oscillate periodically. Comparing this threshold value with that without resource limitation, our results indicate that if resources become limited pulse vaccination should be carried out more frequently than when sufficient resources are available to eradicate an infectious disease. Latin Hypercube Sampling/Partial Rank Correlation Coefficient uncertainty and sensitivity analysis techniques were employed to determine the key factors which are most significantly related to the threshold value.
#Latin hypercube sampling and infectious diseases free
The threshold condition for the stability of the disease free steady state is given. Here we propose and analyse an SIR epidemic model with a nonlinear pulse vaccination to examine how a limited vaccine resource affects the transmission and control of infectious diseases, in particular emerging infectious diseases. Mathematical models can assist in the design and understanding of vaccination strategies when resources are limited.
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