Delay effect in models of population growth

DOI10.1016/J.JMAA.2004.12.018zbMath1074.34071OpenAlexW2031724802MaRDI QIDQ1773317

Thomas I. Seidman, Dang Vu Giang, Yongwimon Lenbury

Publication date: 28 April 2005

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.2004.12.018

zbMATH Keywords

comparison theoremdelay differential equation

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13)

Related Items (11)

Delay‐dependent criteria on the global attractivity of Nicholson's blowflies model with patch structure ⋮ New result on the global attractivity of a delay differential neoclassical growth model ⋮ The numerical solution of a time-delay model of population growth with immigration using Legendre wavelets ⋮ Delay effect in the Lasota–Wazewska model with multiple time-varying delays ⋮ Global attractivity of Nicholson’s blowflies system with patch structure and multiple pairs of distinct time-varying delays ⋮ Control parameterization approach to time-delay optimal control problems: a survey ⋮ Delay model of glucose-insulin systems: global stability and oscillated solutions conditional on delays ⋮ Stochastic Nicholson's blowflies delayed differential equations ⋮ Periodicity and knots in delay models of population growth ⋮ Nicholson's blowflies differential equations revisited: main results and open problems ⋮ Almost periodic solutions for a delayed Nicholson's blowflies system with nonlinear density-dependent mortality terms and patch structure

Cites Work

• Delay differential equations: with applications in population dynamics
• Periodic solutions of difference-differential equations
• Introduction to functional differential equations
• Oscillation and global attractivity in a periodic Nicholson's blowflies model
• Nonlinear delay differential equations involving population growth
• Uniqueness of the periodic solution for differential delay equations
• Global attractivity in nicholson's blowflies
• Periodic solutions of delay-differential equations with a restorative condition

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