Optimal Location of Resources for Biased Movement of Species: The 1D Case

DOI10.1137/17M1124255zbMath1378.49055arXiv1704.08016OpenAlexW2949166295MaRDI QIDQ4591195

Yannick Privat, Fabien Caubet, Thibaut Deheuvels

Publication date: 13 November 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.08016

zbMATH Keywords

optimizationprincipal eigenvaluecalculus of variationspopulation dynamicsbang-bang functionsrearrangement/symmetrization

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Population dynamics (general) (92D25) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09) Variational methods for eigenvalues of operators (49R05)

Related Items (11)

Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology ⋮ On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures ⋮ Some comparison results and a partial bang-bang property for two-phases problems in balls ⋮ The bang-bang property in some parabolic bilinear optimal control problems \textit{via} two-scale asymptotic expansions ⋮ Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: two-scale expansions and symmetrisations ⋮ On principal eigenvalues of measure differential equations and a patchy Neumann eigenvalue problem ⋮ Some Novel Results in Two Species Competition ⋮ Asymptotics of the Principal Eigenvalue for a Linear Time-Periodic Parabolic Operator I: Large Advection ⋮ Shape optimization of a weighted two-phase Dirichlet eigenvalue ⋮ On the logistic diffusive equation with an interior jump condition ⋮ OPTIMAL RESOURCE ALLOCATION FOR A DIFFUSIVE POPULATION MODEL

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