On a nonconservative hyperbolic system describing the nonlinear age dependent populations growth

DOI10.1016/0898-1221(85)90147-6zbMath0583.92017OpenAlexW2015908605WikidataQ58619827 ScholiaQ58619827MaRDI QIDQ1069464

Pierangelo Marcati

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90147-6

zbMATH Keywords

existencecompetitionecological modelsnonconservative hyperbolic systemprey-predator modelsage- dependent population dynamicsepidemic diseasespositivity of a solution

Mathematics Subject Classification ID

Population dynamics (general) (92D25) First-order nonlinear hyperbolic equations (35L60)

Cites Work

• A mathematical theory of size distributions in tissue culture
• The semigroup associated with nonlinear age dependent population dynamics
• On stochasticity in the von Foerster hyperbolic partial differential equation system. Further applications to the modeling of an asynchronously dividing cellular system
• Global existence theory for models of population dynamics
• Nonlinear semigroups and age-dependent population models
• Some considerations on the mathematical approach to nonlinear age dependent population dynamics
• Global asymptotic stability for a vector disease model with spatial spread
• Semilinear hereditary hyperbolic systems with nonlocal boundary conditions. II
• Equilibrium solutions of age-specific population dynamics of several species
• 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
• An age dependent epidemic model
• On the equations of age-dependent population dynamics
• Non-linear age-dependent population dynamics
• A degenerate nonlinear diffusion problem in age-structured population dynamics
• A class of nonlinear diffusion problems in age-dependent population dynamics
• Asymptotic Behavior in Age-Dependent Population Dynamics with Hereditary Renewal Law
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