Hopf bifurcation for general network-organized reaction-diffusion systems and its application in a multi-patch predator-prey system
DOI10.1016/J.JDE.2022.11.026OpenAlexW4309670926WikidataQ122931861 ScholiaQ122931861MaRDI QIDQ2111228
Publication date: 28 December 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.11.026
Hopf bifurcationreaction-diffusion processcomplex networkmulti-patch predator-prey systemspatially nonhomogeneous periodic solutions
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)
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Cites Work
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- The modeling of global epidemics: stochastic dynamics and predictability
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- On global stability of a predator-prey system
- An immunization model for a heterogeneous population
- Pattern formation in discrete cell lattices
- Pattern formation in a two-component reaction-diffusion system with delayed processes on a network
- Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix
- Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
- Hopf bifurcation in an activator-inhibitor system with network
- Predicting pattern formation in multilayer networks
- The effect of global travel on the spread of SARS
- Emergence of Scaling in Random Networks
- Spatial, temporal and spatiotemporal patterns of diffusive predator–prey models with mutual interference
- Dynamical Processes on Complex Networks
- Pattern Formation and Synchronism in an Allelopathic Plankton Model with Delay in a Network
- Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
- Local stability analysis of spatially homogeneous solutions of multi-patch systems
- Elements of applied bifurcation theory
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