A population equation with diffusion.

DOI10.1016/j.jmaa.2003.08.047zbMath1109.34042OpenAlexW2078987476MaRDI QIDQ1419765

D. Massart

Publication date: 26 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.08.047

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Functional-differential equations in abstract spaces (34K30) Linear differential equations in abstract spaces (34G10)

Related Items

Carleman estimates and null controllability for a degenerate population model ⋮ Well-posedness and asynchronous exponential growth of an age-weight structured fish population model with nonautonomous past ⋮ Null controllability of a retarded population dynamics model with interior degeneracy ⋮ Partial differential equations with nonautonomous past in Favard spaces ⋮ A population dynamics model with nonautonomous past ⋮ Positive periodic solutions for a system of anisotropic parabolic equations ⋮ Null controllability for a degenerate population model in divergence form via Carleman estimates ⋮ Well-posedness and stability of nonautonomous past systems with unbounded operators in the delay term ⋮ HOPF BIFURCATION IN AN AGE-DEPENDENT POPULATION MODEL WITH DELAYED BIRTH PROCESS ⋮ Null Controllability of a Degenerate Cascade Model in Population Dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some conditions for global asymptotic stability of equilibria of integrodifferential equations
• Global asymptotic stability for a vector disease model with spatial spread
• On the perturbation theory for strongly continuous semigroups
• Partial functional differential equations with nonautonomous past in \(L^ p\)-phase spaces.
• Classical solutions for PDEs with nonautonomous past in \(L^p\)-spaces
• A spectral mapping theorem for semigroups solving PDEs with nonautonomous past
• Evolution semigroups for nonautonomous Cauchy problems
• Theory and applications of partial functional differential equations
• PFDE with nonautonomous past
• On perturbation theory for semi-groups of operators
• Positivity and stability of delay equations with nonautonomous past
• Behaviour of solutions of some abstract functional differential equations and application to predator—prey dynamics
• One-Parameter Semigroups for Linear Evolution Equations
• Sufficient conditions for exponential stability and dichotomy of evolution equations