Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
By Shanshan Chen, Junping Shi. 2012
189 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/b6adeb09c204e8de54a20c05a3eeea83f5eb97e7
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In Applied Mathematics
In Modeling and Simulation
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect (2015, background): “Hopf bifurcating periodic solutions can be found by means of a center manifold (see, for example, [3,5,12,14]).”
- Turing Instability and Turing–Hopf Bifurcation in Diffusive Schnakenberg Systems with Gene Expression Time Delay (2018, background): “Due to the time-delay factor, Hopf bifurcations occur more frequently in delayed differential equations, which could destabilize a stable equilibrium and lead to temporally inhomogeneous patterns, see [3, 4, 9, 12, 21, 27, 30, 33, 35].”
- Hopf bifurcation in a delayed reaction-diffusion-advection population model (2017, methodology): “Moreover, we refer to [8, 10, 20, 21] and the references therein for the Hopf bifurcation of models with the nonlocal delay effect and the homogenous Dirichlet boundary conditions.”