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Partial Differential Equations in Ecology 80 Years and Counting

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 e...

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Bibliographic Details
Main Author: Petrovskii, Sergei
Format: eBook
Language:English
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Subjects:
Pearl-verhulst Logistic Model
Prey–predator
Semi-linear Parabolic System Of Equations
Population Dynamics
Spatial Fluctuation
Mathematics & Science / Bicssc
Homoclinic Snaking
Diffusion
Non-constant Positive Solution
Correlated Random Walk
Regime Shift
Long Transients
Mutation
Spatial Heterogeneity
Phenotypic Plasticity
Reaction-diffusion
Stage Structure
Movement Ecology
G-function
Spatial Patterns
Generalist Predator
Allen–cahn Model
Carrying Capacity
Dispersal
Pattern Formation
Total Realized Asymptotic Population Abundance
Invasive Species In A River
Plant Populations
Energy Constraints
Invasive Species
Optimal Control
Ghost Attractor
Nonlocal Interaction
Social Dynamics
Public Goods
Linear Determinacy
Chemostat Model
Vegetation Pattern Formation
Spatial Ecology
Continuum Models
Partial Differential Equation
Research & Information: General / Bicssc
Population Growth
Turing-hopf Bifurcation
Turing Instability
Bistability
Spreading Speeds
Telegrapher’s Equation
Travelling Waves
Partial Differential Equations
Taxis
Reaction-diffusion Model
Individual Based Models
Quorum Sensing
Cross Diffusion
Evolutionary Dynamics
Wave Of Protests
Dynamic Behaviors
Spatiotemporal Pattern
Desertification
Animal Movement
Cahn–hilliard Model
Front Instabilities
Turing Patterns
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
Description
Summary: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.
Item Description:Creative Commons (cc), https://creativecommons.org/licenses/by/4.0/
Physical Description:1 electronic resource (238 p.)
ISBN:books978-3-0365-0297-7
9783036502977
9783036502960

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