Asynchronous exponential growth for a two-phase size-structured population model and comparison with the corresponding one-phase model

DOI10.1080/17513758.2018.1501104zbMath1448.92168OpenAlexW2887683313WikidataQ90685326 ScholiaQ90685326MaRDI QIDQ3300957

Shihe Xu, Meng Bai

Publication date: 31 July 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2018.1501104

zbMATH Keywords

distributed delayasynchronous exponential growthsize-structured populations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Well-posedness and asynchronous exponential growth of an age-weight structured fish population model with nonautonomous past ⋮ Principal spectral theory and asynchronous exponential growth for age-structured models with nonlocal diffusion of Neumann type

Cites Work

• Unnamed Item
• Unnamed Item
• Analysis of a two-phase cell division model
• On a size-structured two-phase population model with infinite states-at-birth
• Asynchronous exponential growth for an age dependent population equation with delayed birth process
• Note on asynchronous exponential growth for structured population models
• One-parameter semigroups of positive operators
• Balanced exponential growth of operator semigroups
• Asynchronous exponential growth in an age structured population of proliferating and quiescent cells
• Exponential decay for the fragmentation or cell-division equation
• Asynchronous exponential growth of a general structured population model
• Hopf bifurcation in an age-structured population model with two delays
• A semigroup approach to age-dependent population dynamics with time delay
• On a two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process
• Global existence of solutions for a nonlinear size-structured population model with distributed delay in the recruitment
• One-Parameter Semigroups for Linear Evolution Equations