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From the results of mathematical analysis and numerical simulations, we find that for unequal diffusive coefficients, time-delay and diffusion may induce that Turing instability results in stationary Turing patterns, Hopf instability results in spiral wave patterns, and Hopf\u2013Turing instability results in chaotic wave patterns. Our results well extend the findings of spatiotemporal dynamics in the delayed reaction\u2013diffusion epidemic model, and show that time-delay has a strong impact on the pattern formation of the reaction\u2013diffusion epidemic model.<\/jats:p>","DOI":"10.1142\/s0218127415500996","type":"journal-article","created":{"date-parts":[[2015,8,4]],"date-time":"2015-08-04T06:19:50Z","timestamp":1438669190000},"page":"1550099","source":"Crossref","is-referenced-by-count":15,"title":["Spatiotemporal Dynamics in a Reaction\u2013Diffusion Epidemic Model with a Time-Delay in Transmission"],"prefix":"10.1142","volume":"25","author":[{"given":"Yongli","family":"Cai","sequence":"first","affiliation":[{"name":"College of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035, P. R. China"},{"name":"School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, 510275, P. R. 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