A PDE model for the spatial dynamics of a voles population structured in age

DOI10.1016/j.na.2020.111805zbMath1439.35488OpenAlexW3007445129MaRDI QIDQ1988425

T. N. T. Nguyen, Carlotta Donadello, Giuseppe Maria Coclite

Publication date: 23 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111805

zbMATH Keywords

energy estimatesboundary value problemcompensated compactnessnon-local fluxparabolic-hyperbolic equationdoubling of variablespopulation dynamics structured in age and space

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Related Items (4)

Stability analysis of the COVID-19 model with age structure under media effect ⋮ On the mathematical modeling of vole populations spatial dynamics via transport equations on a graph ⋮ An hyperbolic-parabolic predator-prey model involving a vole population structured in age ⋮ Sampled-data in space nonlinear control of scalar semilinear parabolic and hyperbolic systems

Cites Work

• Well-posedness of the Ostrovsky-Hunter equation under the combined effects of dissipation and short-wave dispersion
• Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux
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• The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
• Mathematical biology. Vol. 1: An introduction.
• Vanishing viscosity for mixed systems with moving boundaries
• Conservation laws with singular nonlocal sources
• Stability and optimization in structured population models on graphs
• Wellposedness for a parabolic-elliptic system
• First order quasilinear equations with boundary conditions

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