Population persistence under advection-diffusion in river networks
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Publication:690654
DOI10.1007/s00285-011-0485-6zbMath1251.92046arXiv1103.5488OpenAlexW2169367003WikidataQ51505787 ScholiaQ51505787MaRDI QIDQ690654
Publication date: 28 November 2012
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.5488
Integro-partial differential equations (45K05) Ecology (92D40) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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Cites Work
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- Occupation and local times for skew Brownian motion with applications to dispersion across an interface
- Effects of heterogeneity on spread and persistence in rivers
- Diffusion processes on graphs and the averaging principle
- Differential equations on networks (geometric graphs)
- The qualitative Sturm-Liouville theory on spatial networks
- Diffusion processes on graphs: Stochastic differential equations, large deviation principle
- Multi-skewed Brownian motion and diffusion in layered media
- Sturm-Liouville eigenvalue problems on networks
- The Effect of Dispersal Patterns on Stream Populations
- A Generalized Taylor–Aris Formula and Skew Diffusion
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