Modeling Infectious Disease Spread Using Global Stochastic Field Simulation Page: IV
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3.4 Restrictions of Classic Cellular Automata ................................... 23
3.4.1 Limitations of Nafve Cellular Automata: Neighborhood
S aturation ....................................................................... 23
3.5 Towards a Global Model: Accounting for Spatial Distributions .... 26
3.5.1 Interactions ..................................................................... 26
3.6 Modeling with Global Stochastic Cellular Automata (GSCA) ...... 29
3.6.1 Threshold Based Algorithm ............................................ 30
3.6.2 The Bounding Box Algorithm...................................... 31
3.7 Global Stochastic Field Sim ulation............................................ 33
3.7.1 A pproach ........................................................................ 34
3.7.2 Modeling Heterogeneous Populations.............................. 34
3.7.3 Demographics: Age Structure ...................................... 36
3.7.4 M ixing Patterns............................................................... 36
3.7.5 C ontact Structure ........................................................... 38
3.7.6 Generating Contacts ...................................................... 40
3.7.7 Spatial Interactions......................................................... 41
4. EX PER IM ENTS ................................................................................... 43
4.1 Experim ental Setup............................................... .................. 43
4.2 Disease Prevalence Distribution ............................................... 44
4.2.1 Infected Population Distribution........................................ 46
4.3 Age Structure Evaluation .......................................................... 47
4.4 Contact Structure/Mixing Patterns............................................. 48
4.5 Disease Param eters.................................................................. 51
4.5.1 Different Diseases ........................................................ 51
4.5.2 Index Case .................. .......................................... 52
4.6 Infectivity ................................................................................... 53
4.6.1 Im m unity ......................................................................... 53
4.7 Com posite Model ......... ............................ 56
5. DISCUSSION ....... ................................... 59
5.1 Conclusion ....... .... . ............................. 59
5.2 Future W ork ...... ................................. 61
BIBLIOGRAPHY ....... .......................................... 62iv
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Venkatachalam, Sangeeta. Modeling Infectious Disease Spread Using Global Stochastic Field Simulation, thesis, August 2006; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc5335/m1/5/: accessed July 18, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .