Partial Differential Equations in Ecology : 80 Years and Counting

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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Detalles Bibliográficos
Otros Autores: Petrovskii, Sergei (Editor)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Materias:
Research & information: general
Mathematics & science
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
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009720692406719
Descripción
Sumario: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.
Descripción Física:1 electronic resource (238 p.)

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