{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,13]],"date-time":"2026-06-13T22:26:07Z","timestamp":1781389567277,"version":"3.54.1"},"reference-count":24,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2019,11,25]],"date-time":"2019-11-25T00:00:00Z","timestamp":1574640000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Shandong Provincial Natural Science Foundation, China","award":["ZR2017MG011."],"award-info":[{"award-number":["ZR2017MG011."]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IJERPH"],"abstract":"<jats:p>Infectious diseases are an important cause of human death. The study of the pathogenesis, spread regularity, and development trend of infectious diseases not only provides a theoretical basis for future research on infectious diseases, but also has practical guiding significance for the prevention and control of their spread. In this paper, a controlled differential equation and an objective function of infectious diseases were established by mathematical modeling. Based on cellular automata theory and a compartmental model, the SLIRDS (Susceptible-Latent-Infected-Recovered-Dead-Susceptible) model was constructed, a model which can better reflect the actual infectious process of infectious diseases. Considering the spread of disease in different populations, the model combines population density, sex ratio, and age structure to set the evolution rules of the model. Finally, on the basis of the SLIRDS model, the complex spread process of pandemic influenza A (H1N1) was simulated. The simulation results are similar to the macroscopic characteristics of pandemic influenza A (H1N1) in real life, thus the accuracy and rationality of the SLIRDS model are confirmed.<\/jats:p>","DOI":"10.3390\/ijerph16234683","type":"journal-article","created":{"date-parts":[[2019,11,25]],"date-time":"2019-11-25T03:10:00Z","timestamp":1574651400000},"page":"4683","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":45,"title":["Spread of Infectious Disease Modeling and Analysis of Different Factors on Spread of Infectious Disease Based on Cellular Automata"],"prefix":"10.3390","volume":"16","author":[{"given":"Sheng","family":"Bin","sequence":"first","affiliation":[{"name":"School of Data Science and Software Engineering, Qingdao University, Qingdao 266071, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7029-2852","authenticated-orcid":false,"given":"Gengxin","family":"Sun","sequence":"additional","affiliation":[{"name":"School of Data Science and Software Engineering, Qingdao University, Qingdao 266071, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5129-8041","authenticated-orcid":false,"given":"Chih-Cheng","family":"Chen","sequence":"additional","affiliation":[{"name":"Information and Engineering College, Jimei University, Xiamen 361021, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2019,11,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1057\/jors.1977.92","article-title":"The Mathematical Theory of Infectious Diseases and Its Applications","volume":"28","author":"Giles","year":"1977","journal-title":"J. Oper. Res. Soc."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1137\/S0036144500371907","article-title":"The Mathematics of Infectious Diseases","volume":"42","author":"Hethcote","year":"2000","journal-title":"Siam Rev."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1247","DOI":"10.1098\/rsif.2010.0142","article-title":"Modelling the influence of human behaviour on the spread of infectious diseases: A review","volume":"7","author":"Funk","year":"2010","journal-title":"J. R. Soc. Interface"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"aaa4339","DOI":"10.1126\/science.aaa4339","article-title":"Modeling infectious disease dynamics in the complex landscape of global health","volume":"347","author":"Hans","year":"2015","journal-title":"Science"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"295","DOI":"10.4161\/viru.24041","article-title":"Mathematical modeling of infectious disease dynamics","volume":"4","author":"Siettos","year":"2013","journal-title":"Virulence"},{"key":"ref_6","first-page":"339","article-title":"Effects of limited medical resource on a Filippov infectious disease model induced by selection pressure","volume":"283","author":"Qin","year":"2016","journal-title":"Appl. Math. Comput."},{"key":"ref_7","unstructured":"Bernoulli, D. (1760). Essai D\u2019 Une Nouvelle Analyse de la Mortalite Cause Par La Petite Werole et Desavantages de I\u2019 Inoculation Pour al Prevenir, in Memories de Mathematiques et de Physique, Academie Royale des Sciences."},{"key":"ref_8","first-page":"733","article-title":"Epidemic disease in England","volume":"1","author":"Hamer","year":"1906","journal-title":"Lancet"},{"key":"ref_9","first-page":"700","article-title":"Contributions to the mathematical theory of epidemics","volume":"115","author":"Kermack","year":"1927","journal-title":"Proc. R. Soc. A"},{"key":"ref_10","first-page":"1275","article-title":"Router-Level Internet Topology Evolution Model based on Multi-Subnet Composited Complex Network Model","volume":"18","author":"Sun","year":"2017","journal-title":"J. Int. Technol."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1016\/S0022-5193(84)80150-2","article-title":"Seasonality and period-doubling bifurcations in an epidemic model","volume":"18","author":"Aron","year":"1984","journal-title":"J. Theor. Biol."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3044","DOI":"10.1016\/j.camwa.2011.03.095","article-title":"Mathematical analysis of a disease transmission model with quarantine, isolation and an imperfect vaccine","volume":"61","author":"Safi","year":"2011","journal-title":"Comput. Math. Appl."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1745","DOI":"10.1142\/S0218127405012776","article-title":"Small world and scale free model of transmission of SARS","volume":"15","author":"Small","year":"2005","journal-title":"Int. J. Bifurc. Chaos"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.prevetmed.2009.04.008","article-title":"Comparing the epidemiological and economic effects of control strategies against classical swine fever in Denmark","volume":"90","author":"Boklund","year":"2009","journal-title":"Prev. Vet. Med."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3444","DOI":"10.1016\/j.cnsns.2014.02.025","article-title":"Asymptotic stability of a two-group stochastic SEIR model with infinite delays","volume":"19","author":"Meng","year":"2014","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1080\/03772063.1990.11436890","article-title":"Cellular Automata\u2014Theory and Applications","volume":"36","author":"Misra","year":"2015","journal-title":"IETE J. Res."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1006\/jtbi.1996.0005","article-title":"A Simple Model of Recurrent Epidemics","volume":"178","author":"Johansen","year":"1996","journal-title":"J. Theor. Biol."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Apenteng, O.O., Azina, I.N., and Khudyakov, Y.E. (2014). The Impact of the Wavelet Propagation Distribution on SEIRS Modeling with Delay. PLoS ONE, 9.","DOI":"10.1371\/journal.pone.0098288"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1312","DOI":"10.1109\/TMC.2013.100","article-title":"Optimizing Content Dissemination in Vehicular Networks with Radio Heterogeneity","volume":"13","author":"Ahn","year":"2014","journal-title":"IEEE Trans. Mob. Comput."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"782","DOI":"10.1016\/j.apm.2015.10.030","article-title":"A cellular automaton model for the transmission of Chagas disease in heterogeneous landscape and host community","volume":"40","author":"Yacoubi","year":"2016","journal-title":"Appl. Math. Model."},{"key":"ref_21","first-page":"479","article-title":"A Model Research on AIDS Diffusion Based on Cellular Automaton","volume":"28","author":"Pan","year":"2011","journal-title":"J. Biomed. Eng."},{"key":"ref_22","first-page":"1","article-title":"Addressing population heterogeneity and distribution in epidemics models using a cellular automata approach","volume":"7","author":"Burguerner","year":"2014","journal-title":"BMC Res. Notes"},{"key":"ref_23","first-page":"205","article-title":"A Heterogeneous Cellular Automata Model for SARS Transmission","volume":"15","author":"Gao","year":"2006","journal-title":"J. Syst. Manag."},{"key":"ref_24","unstructured":"(2017, May 10). The National Legal Report of Infectious Diseases from the Year 2009 to 2010, Available online: http:\/\/www. moh.gov.cn\/publicfiles\/business\/htmlfiles\/mohbgt\/pwsbgb\/index.htm."}],"container-title":["International Journal of Environmental Research and Public Health"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1660-4601\/16\/23\/4683\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:37:11Z","timestamp":1760189831000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1660-4601\/16\/23\/4683"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11,25]]},"references-count":24,"journal-issue":{"issue":"23","published-online":{"date-parts":[[2019,12]]}},"alternative-id":["ijerph16234683"],"URL":"https:\/\/doi.org\/10.3390\/ijerph16234683","relation":{},"ISSN":["1660-4601"],"issn-type":[{"value":"1660-4601","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,11,25]]}}}