Birth-jump processes and application to forest fire spotting

DOI10.1080/17513758.2014.950184zbMath1448.92374OpenAlexW2144035407WikidataQ46843552 ScholiaQ46843552MaRDI QIDQ3304600

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Publication date: 3 August 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2014.950184

zbMATH Keywords

integro-differential equationsreaction-diffusion equationsminimal wave speedcritical domain sizediffusion limitbirth-jump processeswildfire spotting

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Integro-partial differential equations (45K05) Reaction-diffusion equations (35K57) Ecology (92D40) Traveling wave solutions (35C07)

Related Items (7)

Plant dynamics, birth-jump processes, and sharp traveling waves ⋮ Nonlocal elliptic system arising from the growth of cancer stem cells ⋮ Effects of different dispersal patterns on the presence-absence of multiple species ⋮ Nonlocal problems arising from the birth-jump processes ⋮ On the role of cancer cells' diffusion in the tumor growth paradox ⋮ The tumor invasion paradox in cancer stem cell-driven solid tumors ⋮ Reactivity, Attenuation, and Transients in Metapopulations

Uses Software

• FlexPDE
• FARSITE
• FlamMap

Cites Work

• The tumor growth paradox and immune system-mediated selection for cancer stem cells
• Seasonal influences on population spread and persistence in streams: spreading speeds
• The ideal free distribution: a review and synthesis of the game-theoretic perspective
• Models of dispersal in biological systems
• Existence and nonexistence of traveling waves for a nonlocal monostable equation
• Density-dependent dispersal in integrodifference equations
• Approximating the ideal free distribution via reaction-diffusion-advection equations
• Slow motion for the Cahn-Hilliard equation in one space dimension
• Mathematical biology. Vol. 1: An introduction.
• The evolution of dispersal
• A short note on short dispersal events
• Accelerating Solutions in Integro-Differential Equations
• Seasonal Influences on Population Spread and Persistence in Streams: Critical Domain Size
• The Effect of Wind on the Propagation of an Idealized Forest Fire
• A non-local model for cancer stem cells and the tumour growth paradox
• The Effect of Dispersal Patterns on Stream Populations
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