ON THE NUMBER OF POSITIVE PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND POPULATION MODELS

DOI10.1142/S0218202505000467zbMath1087.34046MaRDI QIDQ5311618

Xiaojie Xu, Daqing Jiang, Ravi P. Agarwal, Donal O'Regan

Publication date: 23 August 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

functional differential equationpositive periodic solutionpopulation models

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13)

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Cites Work

• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Uniform ultimate boundedness and periodicity in functional differential equations
• On the existence of periodic solutions for linear inhomogeneous and quasilinear functional differential equations
• Functional differential equations with infinite delay
• Existence of periodic solutions of autonomous functional differential equations
• On the stability of the stationary state of a population growth equation with time-lag
• The effect of time lags on the stability of the equilibrium state of a population growth equation
• Periodic solutions of dissipative functional differential equations
• Stable periodic orbits for a predator-prey model with delay
• Nonlinear Aspects of Competition Between Three Species
• Volterra integral and differential equations