Spreading speed, traveling waves, and minimal domain size in impulsive reaction-diffusion models
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Publication:1930274
DOI10.1007/s11538-012-9757-6zbMath1312.92035OpenAlexW2045910852WikidataQ47291753 ScholiaQ47291753MaRDI QIDQ1930274
Publication date: 10 January 2013
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-012-9757-6
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Thresholds and travelling waves for the geographical spread of infection
- Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
- Existence of traveling waves for integral recursions with nonmonotone growth functions
- Discrete-time growth-dispersal models
- Continuous versus discrete single species population models with adjustable reproductive strategies
- Diffusion and ecological problems: Modern perspectives.
- Mathematical biology. Vol. 1: An introduction.
- Analysis of linear determinacy for spread in cooperative models
- Dispersal and pattern formation in a discrete-time predator-prey model
- Controlling malaria with indoor residual spraying in spatially heterogenous environments
- On the mechanistic derivation of various discrete-time population models
- On the mechanistic underpinning of discrete-time population models with Allee effect
- Spreading speeds as slowest wave speeds for cooperative systems
- Long-Time Behavior of a Class of Biological Models
- Spatial Ecology via Reaction‐Diffusion Equations
- A Nonlinear Integral Operator Arising from a Model in Population Genetics I. Monotone Initial Data
- RANDOM DISPERSAL IN THEORETICAL POPULATIONS
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