Periodic solutions of a nonautonomous periodic model of population with continuous and discrete time

DOI10.1016/j.cam.2005.04.017zbMath1100.34039OpenAlexW2052424729MaRDI QIDQ817484

Yongli Song, Yahong Peng

Publication date: 16 March 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.04.017

zbMATH Keywords

delay equationsFredholm mappingdiscrete and continuous time

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Fixed-point theorems (47H10) Periodic solutions to functional-differential equations (34K13) Discrete version of topics in analysis (39A12) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control ⋮ Stable periodic solutions for Nazarenko's equation ⋮ Positive periodic solution for a nonautonomous periodic model of population with time delays and impulses ⋮ PERIODIC SOLUTION OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS: VIA TOPOLOGICAL DEGREE THEORY AND MATRIX SPECTRAL THEORY ⋮ A new approach to the existence, nonexistence and uniqueness of positive almost periodic solution for a model of hematopoiesis

Cites Work

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• Delay differential equations: with applications in population dynamics
• Oscillation and stability in nonlinear delay differential equations of population dynamics.
• Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey system
• Periodic solutions of a single species discrete population model with periodic harvest/stock
• Oscillation and Global Attractivity in a Nonlinear Delay Periodic Model of Population Dynamics
• Periodic Solutions of Nonautonomous Discrete Predator-Prey System of Lotka-Volterra Type
• LOCAL AND GLOBAL HOPF BIFURCATION IN A DELAYED HEMATOPOIESIS MODEL

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