I have key question of dynamics and impact of certain epidemic event and volume of modelled population (counted in tens of milions) doesn't allow use of agent based modelling due to computational capacities. Input data consist mainly of modelled population distribution within the cell grid (not internally structured) and disease development is based on existing differetion equations (devised from S-I-R model). I've already read some papers on the topic but spatially explicit context was not considered. Has there been published any cell-size dependet algorithm for spatio-temporal epidemic dynamic and development (rules for spreading from cell to cell) based on local population density (in cell) and actual disease basic reproduction number (R) and other structural epidemic properties? Thanks for reply.
Dear Marek,
Thanks for your recent endorsement:
1. I found Gaylord and Nishidate (1996)[book], to be very enlightening
http://www.amazon.com/Modeling-Nature-Cellular-Simulations-Mathematica%C2%AE/dp/0387946209
2. You may also want to consult the body of work by Birgitt Schoenfisch on mathematical biology
3. This article in science direct may be helpful:
http://www.sciencedirect.com/science/article/pii/S0096300306009295
Best Regards,
Bernard
Hi Dr. Vlach,
I use the NetLogo modeling language to do similar problems to this. Rabies has a large body of work on it and I'd suggest you look into Thulke and Grimm's papers here:
http://www.sciencedirect.com/science/article/pii/S0304380098001987
http://www.sciencedirect.com/science/article/pii/0048969795049665
http://www.sciencedirect.com/science/article/pii/S0304380098001987
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