Periodic solutions, global attractivity and oscillation of an impulsive delay host-macroparasite model

DOI10.1016/j.mcm.2006.07.001zbMath1165.34350OpenAlexW2042485756MaRDI QIDQ1029165

Samir H. Saker, Jehad O. Alzabut

Publication date: 9 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2006.07.001

zbMATH Keywords

existenceoscillationdelayglobal attractivityimpulsemacroparasite model

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Attractors of solutions to ordinary differential equations (34D45)

Related Items

A survey on oscillation of impulsive delay differential equations ⋮ Existence of Periodic Solutions of a Type of Nonlinear Impulsive Delay Differential Equations with a Small Parameter ⋮ Permanence of a logistic type impulsive equation with infinite delay ⋮ Existence of solutions for superlinear second-order system with noninstantaneous impulses ⋮ On existence of a globally attractive periodic solution of impulsive delay logarithmic population model ⋮ Mean-square almost periodic solutions for impulsive stochastic host-macroparasite equation on time scales ⋮ On exact controllability of first-order impulsive differential equations ⋮ Dynamics analysis of Mackey-Glass model with two variable delays ⋮ Variational approach to a singular second-order systems with impulses effects

Cites Work

• Oscillation for first order linear differential equations with deviating arguments
• New oscillation criteria for linear delay differential equations
• Ordinary differential equations with nonlinear boundary conditions
• Oscillation for nonlinear delay differential equations with impulses
• Oscillation criteria for second order linear differential equations
• Stochastic models in populations of helminthic parasites in the definitive host. II: Sexual mating functions
• Some further results on oscillation of neutral differential equations
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