Global stability of the virus dynamics model with Crowley-Martin functional response
By Shenghua Xu. 2012
49 citations recorded by the source corpus.
In this paper, a virus dynamics model with Crowley-Martin functional response of the infec- tion rate is investigated. By analyzing the corresponding characteristic equations, the local stability of an infection-free equilibrium point and infection equilibrium point are discussed. By constructing suitable Lyapunov functions and using LaSalles invariance principle, the global stability also are established, it is proved that if the basic reproductive number, R0, is less than or equal to one, the infection-free equilib- rium point is globally asymptotically stable, if R0, is more than one, the infection equilibrium point is globally asymptotically stable.
Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/68dbdd7ef64dae6231062dfac9cc8f00553d6d7a
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In Genetics
In Modeling and Simulation
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Stability of general virus dynamics models with both cellular and viral infections and delays (2017, background): “1C ̨2T/ [10]; Hill-type incidence ˇ1T mV ̨m 3 CT m [11]; and nonlinear incidence rate of the forms h.”