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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2019,10]]},"abstract":"<jats:p> In this paper, we consider a diffusive predator\u2013prey model with Monod\u2013Haldane functional response. We study the Turing instability and Hopf bifurcation of the coexisting equilibriums. We investigate the Turing\u2013Hopf bifurcation through some key bifurcation parameters. In addition, we obtain a normal form for the Turing\u2013Hopf bifurcation. Finally, we show numerical simulations to illustrate the theoretical results. For parameters around the critical value of the Turing\u2013Hopf bifurcation, we demonstrate that the predator\u2013prey model exhibits complex spatiotemporal dynamics, including spatially homogeneous periodic solutions, spatially inhomogeneous periodic solutions, and spatially inhomogeneous steady-state solutions. <\/jats:p>","DOI":"10.1142\/s0218127419501529","type":"journal-article","created":{"date-parts":[[2019,10,16]],"date-time":"2019-10-16T06:46:35Z","timestamp":1571208395000},"page":"1950152","source":"Crossref","is-referenced-by-count":10,"title":["Bifurcation Analysis of a Diffusive Predator\u2013Prey Model with Monod\u2013Haldane Functional Response"],"prefix":"10.1142","volume":"29","author":[{"given":"Qiannan","family":"Song","sequence":"first","affiliation":[{"name":"Department of Mathematics, Northeast Forestry University, Harbin, Heilongjiang 150040, P. R. 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