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Partial Differential Equations in Ecology
Abstract
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- cross diffusion
- Turing patterns
- non-constant positive solution
- animal movement
- correlated random walk
- movement ecology
- population dynamics
- taxis
- telegrapher’s equation
- invasive species
- linear determinacy
- population growth
- mutation
- spreading speeds
- travelling waves
- optimal control
- partial differential equation
- invasive species in a river
- continuum models
- partial differential equations
- individual based models
- plant populations
- phenotypic plasticity
- vegetation pattern formation
- desertification
- homoclinic snaking
- front instabilities
- Evolutionary dynamics
- G-function
- Quorum Sensing
- Public Goods
- semi-linear parabolic system of equations
- generalist predator
- pattern formation
- Turing instability
- Turing-Hopf bifurcation
- bistability
- regime shift
- carrying capacity
- spatial heterogeneity
- Pearl-Verhulst logistic model
- reaction-diffusion model
- energy constraints
- total realized asymptotic population abundance
- chemostat model
- social dynamics
- wave of protests
- long transients
- ghost attractor
- prey–predator
- diffusion
- nonlocal interaction
- spatiotemporal pattern
- Allen–Cahn model
- Cahn–Hilliard model
- spatial patterns
- spatial fluctuation
- dynamic behaviors
- reaction-diffusion
- spatial ecology
- stage structure
- dispersal
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Last time updated on 29/09/2021
This paper was published in Directory of Open Access Books (DOAB).
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