A delayed marine bacteriophage infection model

DOI10.1016/j.aml.2006.06.017zbMath1110.92041OpenAlexW2038466873MaRDI QIDQ879007

Shengqiang Liu, Jianliang Tang, Zhuo-Jun Liu

Publication date: 4 May 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.06.017

zbMATH Keywords

delaynecessary and sufficient conditionspermanencestage structure

Mathematics Subject Classification ID

Epidemiology (92D30) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (5)

Dynamical analysis on a bacteria-phages model with delay and diffusion ⋮ Dynamics of virus infection model with nonlytic immune response induced by stochastic noise ⋮ Hopf bifurcation analysis of a phage therapy model ⋮ Derivation and computation of discrete-delay and continuous-delay SDEs in mathematical biology ⋮ Stability analysis and persistence of a phage therapy model

Cites Work

• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Permanence extinction and global asymptotic stability in a stage structured system with distributed delays
• Permanence of general stage-structured consumer\,--\,resource models
• Uniform persistence and permanence for non-autonomous semiflows in population biology
• Modeling and analysis of a marine bacteriophage infection
• Extinction and permanence in competitive stage structured system with time-delays
• Asymptotic behaviors of competitive Lotka-Volterra system with stage structure
• Extinction and permanence in nonautonomous competitive systems with stage structure.
• A stage structured predator-prey model and its dependence on maturation delay and death rate
• A time-delay model of single-species growth with stage structure
• Persistence in Infinite-Dimensional Systems
• SEIR epidemic model with delay
• Stability and Traveling Fronts in Lotka-Volterra Competition Models with Stage Structure
• A Delay Reaction-Diffusion Model of the Spread of Bacteriophage Infection
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
• A Stage-structured Predator-prey Model of Beddington-DeAngelis Type
• Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
• Modeling and analysis of a marine bacteriophage infection with latency period

This page was built for publication: A delayed marine bacteriophage infection model