Dynamics of the diffusive Nicholson's blowflies equation with distributed delay
By Stephen A. Gourley, Shigui Ruan. Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2000
84 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/e6b6ccecf66f1e94ba753a47aa1997ceadabbac5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Junjie Wei
- Junping Shi
- Sergei I. Trofimchuk
- Teresa Faria
- Xingfu Zou
- Taishan Yi
- Wan-Tong Li
- Shigui Ruan
In Modeling and Simulation
- Junjie Wei
- Teresa Faria
- Taishan Yi
- Sergei I. Trofimchuk
- Xingfu Zou
- Junping Shi
- Yongli Song
- Jianhong Wu
In Public Health, Environmental and Occupational Health
- Junjie Wei
- Junping Shi
- Sergei I. Trofimchuk
- Xingfu Zou
- Taishan Yi
- Teresa Faria
- Wan-Tong Li
- Shigui Ruan
Citations in the corpus
- Hopf bifurcation analysis in a delayed Nicholson blowflies equation (2005, unknown): “, [29,25,26,5,4,27]).”
- Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case☆ (2008, background): “Gourley and Ruan [5] also explored the dynamics of a diffusive Nicholson equation with distributed delay when the spatial domain is the whole space.”
- Nonmonotone travelling waves in a single species reaction–diffusion equation with delay (2005, background): “Relevant biological discussion can be found in [1, 9, 11, 17, 25], where various modifications of (1.”
- DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS (2006, unknown): “Gourley and Ruan (2000) study various local and global aspects of Nicholson’s blowflies equation with infinite delay (12.5) ∂u ∂t = d∆u−τu(x, t)+βτ (∫ t −∞ F (t− s)u(x, s) ds ) exp ( − ∫ t −∞ F (t− s)u(x, s) ds ) for (x, t) ∈ Ω× [0,∞) where Ω is either all of Rn or some finite domain, and where the…”
- Hopf bifurcations in a reaction-diffusion population model with delay effect (2009, background): “Other studies on steady states and bifurcation of delayed reaction–diffusion models can be found in [7,8,11,12,18–20,22,27,31,33,34,42,43].”