%0 Journal Article %1 risch1983approximate %A Risch, Harvey %D 1983 %J Mathematical Biosciences %K statistics %N 1 %P 1-8 %R https://doi.org/10.1016/0025-5564(83)90047-0 %T An approximate solution for the standard deterministic epidemic model %U https://www.sciencedirect.com/science/article/pii/0025556483900470 %V 63 %X An approximate solution for the course of the standard (general) deterministic epidemic model is obtained by elementary series expansions. The approximation is valid over all times, and appears to hold accurately over a very wide range of population and threshold parameter values. It is shown from the approximation that if the initial fraction of susceptibles and the threshold are kept fixed and the initial fraction of infectives is allowed to vary, the time of occurrence of the maximum number of infectives depends linearly upon the order of magnitude of their initial number.

@article{risch1983approximate, abstract = {An approximate solution for the course of the standard (general) deterministic epidemic model is obtained by elementary series expansions. The approximation is valid over all times, and appears to hold accurately over a very wide range of population and threshold parameter values. It is shown from the approximation that if the initial fraction of susceptibles and the threshold are kept fixed and the initial fraction of infectives is allowed to vary, the time of occurrence of the maximum number of infectives depends linearly upon the order of magnitude of their initial number.}, added-at = {2022-01-18T16:15:25.000+0100}, author = {Risch, Harvey}, biburl = {https://www.bibsonomy.org/bibtex/28bcfab316888734430bc74a7de9ce250/fordham1}, description = {An approximate solution for the standard deterministic epidemic model - ScienceDirect}, doi = {https://doi.org/10.1016/0025-5564(83)90047-0}, interhash = {5240b003fd68a0aefe1067d96d54958d}, intrahash = {8bcfab316888734430bc74a7de9ce250}, issn = {0025-5564}, journal = {Mathematical Biosciences}, keywords = {statistics}, number = 1, pages = {1-8}, timestamp = {2022-01-18T16:15:25.000+0100}, title = {An approximate solution for the standard deterministic epidemic model}, url = {https://www.sciencedirect.com/science/article/pii/0025556483900470}, volume = 63, year = 1983 }