Regulation of births for viability of populations governed by age-structured problems

DOI10.1007/s00028-011-0125-zzbMath1245.35132OpenAlexW2043078634MaRDI QIDQ434341

Jean-Pierre Aubin

Publication date: 10 July 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-011-0125-z

zbMATH Keywords

nonlinear systempopulation dynamicscontrol systemsbirth controlpartial differential inclusionsviability solutionviable-capture basin

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

Related Items (2)

Generalized Lax-Hopf Formulas for Cournot Maps and Hamilton-Jacobi-McKendrick Equations ⋮ Cournot maps for intercepting evader evolutions by a pursuer

Cites Work

• Macroscopic traffic models: shifting from densities to ``celerities
• Optimal control of population dynamics
• The McKendrick partial differential equation and its uses in epidemiology and population study
• Applied mathematical demography
• Exact controllability of a nonlinear population-dynamics problem
• Non‐linear structured population dynamics with co‐variates
• Viability Kernels and Capture Basins of Sets Under Differential Inclusions
• Viability Theory
• Variational Analysis
• Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations
• Set-valued analysis
• On the controllability of the Lotka-McKendrick model of population dynamics
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