Descriptor: "*DELAY differential equations" / Publisher: academic press inc. / Topic: 3 selected - Searchworks@Jio Institute Digital Library Search Results

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Start Over Descriptor "*DELAY differential equations" Topic bifurcation theory Topic hopf bifurcation Topic stability Publisher academic press inc.

Author: Chen, Shanshan and Shi, Junping
Subjects: *STABILITY theory, *HOPF algebras, *BIFURCATION theory, *MATHEMATICAL models, *DELAY differential equations, *KERNEL functions
Abstract: Abstract: A reaction–diffusion model with logistic type growth, nonlocal delay effect and Dirichlet boundary condition is considered, and combined effect of the time delay and nonlocal spatial dispersal provides a more realistic way of modeling the complex spatiotemporal behavior. The stability of the positive spatially nonhomogeneous positive equilibrium and associated Hopf bifurcation are investigated for the case of near equilibrium bifurcation point and the case of spatially homogeneous dispersal kernel. [Copyright &y& Elsevier]
Published: 2012
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