Maximal total population of species in a diffusive logistic model
type: Item
instance of: scholarly article
title: Maximal total population of species in a diffusive logistic model
zbMATH Open document ID: 1501.92114
author: Chiu-Yen Kao
author: Seyyed Abbas Mohammadi
published in: Journal of Mathematical Biology
publication date: 2022-10-21T00:00:00Z
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 49M05
zbMATH DE Number: 7605268
zbMATH Keywords: diffusive logistic equation
zbMATH Keywords: optimal control
zbMATH Keywords: population dynamics
zbMATH Keywords: rearrangements
zbMATH Keywords: gradient-based algorithm
MaRDI profile type: Publication
full work available at URL: s00285-022-01817-0
OpenAlex ID: W4303488441
cites work: An optimization problem and its application in population dynamics
cites work: Analysis of the periodically fragmented environment model. I: Species persistence
cites work: Q5188481
cites work: Rearrangements of functions, maximization of convex functionals, and vortex rings
cites work: Variational problems on classes of rearrangements and multiple configurations for steady vortices
cites work: Diffusive logistic equations with indefinite weights: population models in disrupted environments
cites work: The effects of spatial heterogeneity in population dynamics
cites work: Study of a Mixed Dispersal Population Dynamics Model
cites work: Optimization of the First Eigenvalue of Equations with Indefinite Weights
cites work: Optimal control of growth coefficient on a steady-state population model
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Q5812325
cites work: Global dynamics of the Lotka-Volterra competition-diffusion system: diffusion and spatial heterogeneity. I
cites work: Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II
cites work: Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. III
cites work: On the fragmentation phenomenon in the population optimization problem
cites work: Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions
cites work: Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains
cites work: Rearrangements and convexity of level sets in PDE
cites work: Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology
cites work: Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
cites work: Eigenvalue problems for the \(p\)-Laplacian
cites work: On the dependence of population size upon random dispersal rate
cites work: Analysis.
cites work: On the effects of migration and spatial heterogeneity on single and multiple species
cites work: Q2930431
cites work: Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
cites work: A Fragmentation Phenomenon for a Nonenergetic Optimal Control Problem: Optimization of the Total Population Size in Logistic Diffusive Models
cites work: Optimal location of resources maximizing the total population size in logistic models
cites work: Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate
cites work: Maximization of the total population in a reaction-diffusion model with logistic growth
cites work: RANDOM DISPERSAL IN THEORETICAL POPULATIONS
cites work: Spherical symmetrization and eigenvalue estimates
cites work: Stability of a predator-prey system with prey taxis in a general class of functional responses
cites work: A free boundary problem for a predator-prey model with nonlinear prey-taxis.
DOI: 10.1007/S00285-022-01817-0
description: scientific article; zbMATH DE number 7605268