Nonlinear delay differential equations involving population growth

DOI10.1016/j.mcm.2003.09.038zbMath1063.92044OpenAlexW2010812143MaRDI QIDQ1765085

Dang Vu Giang, Yongwimon Lenbury

Publication date: 22 February 2005

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2003.09.038

zbMATH Keywords

one-parameter semigroupconstant variation formulaomega-limit set of persistent solutionspositivity of population models

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (12)

Numerical treatment of a fractional order system of nonlinear stochastic delay differential equations using a computational scheme ⋮ Dynamics for a type of general reaction-diffusion model ⋮ Positive almost periodic solution for a class of Nicholson's blowflies model with multiple time-varying delays ⋮ A novel linearized Galerkin finite element scheme with fractional Crank–Nicolson method for the nonlinear coupled delay subdiffusion system with smooth solutions ⋮ A finite difference scheme for semilinear space-fractional diffusion equations with time delay ⋮ Boundedness and persistence of delay differential equations with mixed nonlinearity ⋮ Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods ⋮ Collocation methods based on Gegenbauer and Bernoulli wavelets for solving neutral delay differential equations ⋮ Extinction, persistence and global stability in models of population growth ⋮ Delay effect in models of population growth ⋮ Convergence and permanence of a delayed Nicholson's blowflies model with feedback control ⋮ Spectral approximations for nonlinear fractional delay diffusion equations with smooth and nonsmooth solutions

Cites Work

• Introduction to functional differential equations
• Oscillation and global attractivity in a periodic Nicholson's blowflies model
• Oscillation and stability in nonlinear delay differential equations of population dynamics.
• Oscillation and global attractivity in hematopoiesis model with delay time

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