Permanence and extinction for a nonautonomous avian-human influenza epidemic model with distributed time delay

DOI10.1016/j.mcm.2010.07.006zbMath1205.34095OpenAlexW2033784663MaRDI QIDQ623092

G. P. Samanta

Publication date: 13 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.07.006

zbMATH Keywords

time delayglobal stabilityLyapunov functionalpermanencemutant avian influenzawild avian influenza

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (13)

An SEI-SI avian-human influenza model with diffusion and nonlocal delay ⋮ Dynamics of an epidemic model with impact of toxins ⋮ On a five-dimensional nonautonomous schistosomiasis model with latent period ⋮ Global dynamics of a novel deterministic and stochastic SIR epidemic model with vertical transmission and media coverage ⋮ A two-strain avian-Human influenza model with environmental transmission: stability analysis and optimal control strategies ⋮ Analytical Solutions for an Avian Influenza Epidemic Model incorporating Spatial Spread as a Diffusive Process ⋮ Permanence for a delayed nonautonomous SIR epidemic model with density-dependent birth rate ⋮ Optimal control of an avian influenza model with multiple time delays in state and control variables ⋮ Asymptotic behavior of a stochastic delayed avian influenza model with saturated incidence rate ⋮ Dynamical analysis of an SIS epidemic model with migration and residence time ⋮ Global Dynamics and Rich Sliding Motion in an Avian-Only Filippov System in Combating Avian Influenza ⋮ Permanence and extinction for a nonautonomous malaria transmission model with distributed time delay ⋮ Global dynamical analysis of H5 subtype avian influenza model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Permanence and extinction for a nonautonomous SIRS epidemic model with time delay
• Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination
• Avian-human influenza epidemic model
• Theory of functional differential equations. 2nd ed
• Uniform persistence and permanence for non-autonomous semiflows in population biology
• Avian flu pandemic: can we prevent it?
• Nonautonomous SEIRS and Thron models for epidemiology and cell biology
• On a nonautonomous SEIRS model in epidemiology
• Dynamic behaviour for a nonautonomous heroin epidemic model with time delay
• The SIRC model and influenza A
• Mathematical Structures of Epidemic Systems
• Uniform weak implies uniform strong persistence for non-autonomous semiflows

This page was built for publication: Permanence and extinction for a nonautonomous avian-human influenza epidemic model with distributed time delay