Partial Differential Equations in Ecology 80 Years and Counting
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TextLanguage: English Publication details: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021Description: 1 online resource (238 p.)Content type: - text
- computer
- online resource
- 9783036502960
- 9783036502977
- books978-3-0365-0297-7
- Mathematics & science
- Research & information: general
- Allen-Cahn model
- animal movement
- bistability
- Cahn-Hilliard model
- carrying capacity
- chemostat model
- continuum models
- correlated random walk
- cross diffusion
- desertification
- diffusion
- dispersal
- dynamic behaviors
- energy constraints
- Evolutionary dynamics
- front instabilities
- G-function
- generalist predator
- ghost attractor
- homoclinic snaking
- individual based models
- invasive species
- invasive species in a river
- linear determinacy
- long transients
- movement ecology
- mutation
- non-constant positive solution
- nonlocal interaction
- optimal control
- partial differential equation
- partial differential equations
- pattern formation
- Pearl-Verhulst logistic model
- phenotypic plasticity
- plant populations
- population dynamics
- population growth
- prey-predator
- Public Goods
- Quorum Sensing
- reaction-diffusion
- reaction-diffusion model
- regime shift
- semi-linear parabolic system of equations
- social dynamics
- spatial ecology
- spatial fluctuation
- spatial heterogeneity
- spatial patterns
- spatiotemporal pattern
- spreading speeds
- stage structure
- taxis
- telegrapher's equation
- total realized asymptotic population abundance
- travelling waves
- Turing instability
- Turing patterns
- Turing-Hopf bifurcation
- vegetation pattern formation
- wave of protests
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Partial differential equations (PDEs) have been used in theoretical ecology research for more than eighty years. Nowadays, along with a variety of different mathematical techniques, they remain as an efficient, widely used modelling framework; as a matter of fact, the range of PDE applications has even become broader. This volume presents a collection of case studies where applications range from bacterial systems to population dynamics of human riots.
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