Non‐linear structured population dynamics with co‐variates

DOI10.1080/08898480009525493zbMath0981.92024OpenAlexW2076097499MaRDI QIDQ2729215

Jean-Pierre Aubin, Franck Maurin, Noël Bonneuil

Publication date: 26 March 2002

Published in: Mathematical Population Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/08898480009525493

zbMATH Keywords

viability theoryLotka-McKendrickinvariance envelope

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items

Invariance for quasi-dissipative systems in Banach spaces, Regulation of births for viability of populations governed by age-structured problems, Positivity of solutions in a perturbed age-structured model

Cites Work

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• Viable populations in a prey-predator system
• Hamilton-Jacobi equations: Viscosity solutions and generalized gradients
• Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
• Approximation of the viability kernel
• Dynamic economic theory. A viability approach
• The McKendrick partial differential equation and its uses in epidemiology and population study
• Protected polymorphism in the two-locus haploid model with unpredictable fitnesses
• Semicontinuous Viscosity Solutions For Hamilton–Jacobi Equations With Convex Hamiltonians
• Malthus, boserup and population viability
• Stabilization, birth waves, and the surge in the elderly*
• Lower Semicontinuous Solutions of Hamilton–Jacobi–Bellman Equations