The semigroup associated with nonlinear age dependent population dynamics

DOI10.1016/0898-1221(83)90062-7zbMath0535.92018OpenAlexW2041780217MaRDI QIDQ791470

Glenn F. Webb

Publication date: 1983

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(83)90062-7

zbMATH Keywords

infinitesimal generatorage-structured populationglobal Lipschitz conditionsintegral form of the McKendrick-von Foerster equations

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Population dynamics (general) (92D25) First-order nonlinear hyperbolic equations (35L60)

Related Items (7)

The work of Glenn F. Webb ⋮ Analysis of nonlinear integro-differential equations arising in age-dependent epidemic models ⋮ Approximate controllability of the semilinear population dynamics system with diffusion ⋮ A model of proliferating cell populations with correlation of mother- daughter mitotic times ⋮ Dynamics of populations structured by internal variables ⋮ Nonlinear age-dependent population dynamics with random diffusion ⋮ On a nonconservative hyperbolic system describing the nonlinear age dependent populations growth

Cites Work

• Nonlinear age-dependent population growth with history-dependent birth rate
• On the qualitative behaviour of populations with age-specific interactions
• Non-linear age-dependent population diffusion
• On the growth of a population dependent on ages and involving resources and pollution
• Semilinear hereditary hyperbolic systems with nonlocal boundary conditions. I
• Semilinear hereditary hyperbolic systems with nonlocal boundary conditions. II
• Equilibrium solutions of age-specific population dynamics of several species
• On the optimal harvesting of age-structured populations: Some simple models
• Seed dispersal in a patchy environment with global age dependence
• An age dependent epidemic model
• Some simple models for nonlinear age-dependent population dynamics
• Non-linear age-dependent population dynamics
• Convergence and approximation of semigroups of nonlinear operators in Banach spaces
• A remark on the equations of age-dependent population dynamics
• Asymptotic Behavior in Age-Dependent Population Dynamics with Hereditary Renewal Law
• An Initial-Boundary Value Problem for Age-Dependent Population Diffusion
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
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