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Global stability of the virus dynamics model with intracellular delay and Crowley-Martin functional response
- Source :
- Mathematical Methods in the Applied Sciences. 37:1405-1411
- Publication Year :
- 2013
- Publisher :
- Wiley, 2013.
-
Abstract
- In this paper, a virus dynamics model with intracellular delay and Crowley–Martin functional response is discussed. By constructing suitable Lyapunov functions and using LaSalles invariance principle for delay differential equations, we established the global stability of uninfected equilibrium and infected equilibrium; it is proved that if the basic reproductive number is less than or equal to one, the uninfected equilibrium is globally asymptotically stable; if the basic reproductive number is more than one, the infected equilibrium is globally asymptotically stable. We also discuss the effects of intracellular delay on global dynamical properties by comparing the results with the stability conditions for the model without delay. Copyright © 2013 John Wiley & Sons, Ltd.
- Subjects :
- Lyapunov function
Invariance principle
General Mathematics
Dynamics (mechanics)
General Engineering
Delay differential equation
Stability (probability)
symbols.namesake
Stability conditions
Control theory
Stability theory
symbols
Quantitative Biology::Populations and Evolution
Applied mathematics
Basic reproduction number
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Volume :
- 37
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........d8b49aaef1f637ccde9ec223c38c4110