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The existence, multiplicity and stability of spatially nonhomogeneous steady-state solutions and periodic solutions are studied by employing the Lyapunov\u2013Schmidt reduction method. Moreover, the Hopf bifurcation direction is derived. It is observed that Robin boundary condition plays a crucial role in the Hopf bifurcation. More precisely, when the boundary effect is stronger than the interaction of the species within the region, there is no Hopf bifurcation no matter how the time delay [Formula: see text] changes. Finally, we illustrate our general theoretical results by an application to the Nicholson\u2019s blowflies model.<\/jats:p>","DOI":"10.1142\/s0218127423500189","type":"journal-article","created":{"date-parts":[[2023,3,8]],"date-time":"2023-03-08T10:06:21Z","timestamp":1678269981000},"source":"Crossref","is-referenced-by-count":6,"title":["Stability and Bifurcation of a Delayed Reaction\u2013Diffusion Model with Robin Boundary Condition in Heterogeneous Environment"],"prefix":"10.1142","volume":"33","author":[{"given":"Chaochao","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei 430074, P. R. 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