Asymptotic analysis of a spatially and size-structured population model with delayed birth process

DOI10.3934/CPAA.2016.15.637zbMath1358.35212OpenAlexW2525369773MaRDI QIDQ906814

Dongxue Yan, Xianlong Fu

Publication date: 29 January 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.637

zbMATH Keywords

stabilitypopulation dynamics\(C_0\)-semigroupasynchronous exponential growthdelayed boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations in context of PDEs (35B32)

Related Items (8)

Long-time behavior of a size-structured population model with diffusion and delayed birth process ⋮ Optimal boundary control problems for a hierarchical age-structured two-species model ⋮ Optimal harvesting in a unidirectional consumer–resource mutualisms system with size structure in the consumer ⋮ Well-posedness and asynchronous exponential growth of an age-weighted structured fish population model with diffusion in \(L^1\) ⋮ Asymptotic behavior of a hierarchical size-structured population model ⋮ Asymptotic analysis of a size-structured population model with infinite states-at-birth ⋮ Asymptotic behavior of an age-structured prey-predator system with distributed delay ⋮ A spatially and size-structured population model with unbounded birth process

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