Q.\): Position of discretization points for Neumann boundary conditions at \(x=a\) and \(x=b\). The existence of spatially nonhomogeneous steady-state solution is investigated by applying LyapunovSchmidt reduction. Zhao, X.Q.: Global attractivity in a class of nonmonotone reaction–diffusion equations with time delay. In this paper, we study the dynamics of a diffusive equation with time delay subject to Dirichlet boundary condition in a bounded domain. Yoshida, K.: The Hopf bifurcation and its stability for semilinear diffusion equations with time delay arising in ecology. Yi, T.S., Zou, X.F.: Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case. Yan, X.P., Li, W.T.: Stability of bifurcating periodic solutions in a delayed reaction–diffusion population model. Yi, F.Q., Wei, J.J., Shi, J.P.: Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator–prey system. Wu, J.H.: Theory and Applications of Partial Functional-Differential Equations. Su, Y., Wei, J.J., Shi, J.: Bifurcation analysis in a delayed diffusive Nicholsons blowflies equation. Su, Y., Wei, J.J., Shi, J.P.: Hopf bifurcations in a reaction–diffusion population model with delay effect. So, J.W.-H., Wu, J.H., Yang, Y.J.: Numerical steady state and Hopf bifurcation analysis on the diffusive Nicholsons blowflies equation. So, J.W.-H., Yang, Y.J.: Dirichlet problem for the diffusive Nicholson’s blowflies equation. So, J.W.-H., Yu, J.S.: Global attractivity and uniform persistence in Nicholson’s blowflies. Springfield, MO, USA, 1996, An added volume to Discrete and Continuous Dynamical Systems, pp. Proceedings of the International Conference on Dynamical Systems and Differential Equation, vol. So, J.W.-H.: Dynamics of the diffusive Nicholson’s blowflies equation. Cambridge University Press, Cambridge (2001) Robinson, J.C.: Infinite-Dimensional Dynamical Systems-An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors. Cambridge University Press, Cambridge (1981) Hassard, B.D., Kazarinoff, N.D., Wan, Y.H.: Theory and Applications of Hopf Bifurcation. Hale, J.: Theory of Functional Differential Equations. Gurney, W.S.C., Blythe, S.P., Nisbet, R.M.: Nicholson’s blowflies revisited. Guo, S.J., Wu, J.H.: Bifurcation Theory of Functional Differential Equations. Guo, S.J.: Stability and bifurcation in a reaction–diffusion model with nonlocal delay effect. Gourley, S.A., So, J.W.-H., Wu, J.H.: Nonlocality of reaction–diffusion equations induced by delay: biological modeling and nonlinear dynamics. Gourley, S.A., So, J.W.-H.: Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain. Gourley, S.A., Ruan, S.: Dynamics of the diffusive Nicholson’s blowflies with distributed delay. ![]() Gourley, S.A., Britton, N.F.: A predator–prey reaction–diffusion system with nonlocal effects. Gourley, S.A.: Travelling front solutions of a nonlocal Fisher equation. American Mathematical Society, Providence (2002)įaria, T., Huang, W.Z., Wu, J.H.: Smoothness of center manifolds for maps and formal adjoints for semilinear FDEs in general Banach spaces. (ed.) Fields Institute Communications, pp. 7, 155–176 (2001)įaria, T.: Stability of periodic solutions arising from Hopf bifurcation for a reaction–diffusion equation with time delay. 258, 115–147 (2015)įaria, T.: Normal forms for semilinear functional differential equations in Banach spaces and applications. 85, 717–734 (2006)ĭeng, Y.B., Peng, S.J., Yan, S.S.: Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth. 253, 3440–3470 (2012)ĭavidson, F., Dodds, N.: Spectral properties of non-local differential operators. 4(1), 17–37 (1974)Ĭhen, S.S., Shi, J.P.: Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect. 124, 80–107 (1996)Ĭhafee, N., Infante, E.F.: A bifurcation problem for a nonlinear partial differential equation of parabolic type. Inhomogeneous Dirichlet Boundary conditions on a rectangular domain as prescribed in (24.8) Idea for solution - divide and conquer We want to use separation of variables so we need homogeneous boundary conditions. Busenberg, S., Huang, W.Z.: Stability and Hopf bifurcation for a population delay model with diffusion effects.
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