On the global stability of the logistic age-dependent population growth

DOI10.1007/BF00275074zbMath0496.92009WikidataQ52434721 ScholiaQ52434721MaRDI QIDQ1170133

Pierangelo Marcati

Publication date: 1982

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

global stabilityvon Foerster modelMcKendrick modellinear renewal lawlogistic age-dependent population growthnonlinear death rate

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (19)

Equilibrium and local stability in a logistic matrix model for age- structured populations ⋮ Logistic models of structured population growth ⋮ The demographic meanings of the classical population growth models of ecology ⋮ Exponential stability of numerical solutions to stochastic age-dependent population equations ⋮ An age-dependent population model and its operator ⋮ On the global stability of the logistic age-dependent population growth ⋮ A class of nonlinear diffusion problems in age-dependent population dynamics ⋮ An adaptative model for a multistage structured population under fluctuating environment ⋮ Global and local stability for a non-linear hyperbolic system model for the role of stem cells in physiological homeostasis ⋮ Numerical analysis of linearly implicit Euler-Riemann method for nonlinear Gurtin-MacCamy model ⋮ Large population limit and time behaviour of a stochastic particle model describing an age-structured population ⋮ The stability of nonlinear age-dependent population equation ⋮ Existence and stability of equilibria in age-structured population dynamics ⋮ Nonlinear hyperbolic partial differential equations for the dynamics of parasite populations ⋮ Some considerations on the mathematical approach to nonlinear age dependent population dynamics ⋮ Global behaviour of age-dependent logistic population models ⋮ Global branches of equilibrium solutions of the McKendrick equations for age-structured population growth ⋮ On a nonconservative hyperbolic system describing the nonlinear age dependent populations growth ⋮ Equilibria in structured populations

Cites Work

• Differential-difference equations
• Local stability of a population with density-dependent fertility
• Approach to equilibrium in age structured populations with an increasing recruitment process
• An age-dependent epidemic model with spatial diffusion
• On the global stability of the logistic age-dependent population growth
• Stability of an age specific population with density dependent fertility
• Some simple models for nonlinear age-dependent population dynamics
• Non-linear age-dependent population dynamics
• Asymptotic Behavior in Age-Dependent Population Dynamics with Hereditary Renewal Law
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