Geometric indicators of population persistence in branching continuous-space networks

DOI10.1007/s00285-016-1045-xzbMath1360.92092OpenAlexW2512420241WikidataQ46192191 ScholiaQ46192191MaRDI QIDQ515843

Scott Manifold, Kurt E. Anderson, Jonathan J. Sarhad

Publication date: 17 March 2017

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: http://www.escholarship.org/uc/item/2j1197nj

zbMATH Keywords

population dynamicspartial differential equationsreaction-diffusion-advection equation(metric) graph theorybranching networksprincipal eigenvalue analysis

Mathematics Subject Classification ID

Applications of graph theory (05C90) Boundary value problems for second-order elliptic equations (35J25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (5)

Dynamical behavior of solutions of a reaction-diffusion model in river network ⋮ Blow-up on metric graphs and Riemannian manifolds ⋮ Multi-peak solutions for the Schnakenberg model with heterogeneity on star shaped graphs ⋮ The role of protection zone on species spreading governed by a reaction-diffusion model with strong Allee effect ⋮ The Fisher-KPP equation over simple graphs: varied persistence states in river networks

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• Statistical mechanics of complex networks
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• Dynamical Processes on Complex Networks
• Spatial Ecology via Reaction‐Diffusion Equations
• The Effect of Dispersal Patterns on Stream Populations
• Exploring complex networks
• Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths

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