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• W2980875108 abstract "In this paper, we consider the dynamics of a delayed reaction–diffusion mussel-algae system subject to Neumann boundary conditions. When the delay is zero, we show the existence of positive solutions and the global stability of the boundary equilibrium. When the delay is not zero, we obtain the stability of the positive constant steady state and the existence of Hopf bifurcation by analyzing the distribution of characteristic values. By using the theory of normal form and center manifold reduction for partial functional differential equations, we derive an algorithm that determines the direction of Hopf bifurcation and the stability of bifurcating periodic solutions. Finally, some numerical simulations are carried out to support our theoretical results." @default.
• W2980875108 created "2019-10-25" @default.
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• W2980875108 creator A5051954401 @default.
• W2980875108 date "2019-10-01" @default.
• W2980875108 modified "2023-09-23" @default.
• W2980875108 title "Bifurcation Analysis in a Diffusive Mussel-Algae Model with Delay" @default.
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• W2980875108 doi "https://doi.org/10.1142/s021812741950144x" @default.
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