Global analysis of virus dynamics model with logistic mitosis, cure rate and delay in virus production

DOI10.1002/mma.3096zbMath1310.34109OpenAlexW2060620261MaRDI QIDQ5177004

Noé Chan-Chí, Cruz Vargas-De-León, E. J. Avila-Vales

Publication date: 5 March 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3096

zbMATH Keywords

time delayglobal stabilitylocal stabilityHopf bifurcationLyapunov functionalspermanence

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Medical epidemiology (92C60)

Cites Work

• Unnamed Item
• Global properties of basic virus dynamics models
• Global properties for virus dynamics model with mitotic transmission and intracellular delay
• Global attractivity of a family of max-type difference equations
• Global stability for an HIV-1 infection model including an eclipse stage of infected cells
• Delay differential equations: with applications in population dynamics
• Global stability for an SIR epidemic model with delay and nonlinear incidence
• Properties of stability and Hopf bifurcation for a HIV infection model with time delay
• A delay differential equation model of HIV infection of \(\text{CD4}^{+}T\)-cells with cure rate
• Complete global stability for an SIR epidemic model with delay - distributed or discrete
• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
• Global analysis of a delayed vector-bias model for malaria transmission with incubation period in mosquitoes
• Stability analysis of a model for HBV infection with cure of infected cells and intracellular delay
• An epidemic model of a vector-borne disease with direct transmission and time delay
• A differential equation model of HIV infection of CD4\(^+\) \(T\)-cells with cure rate
• Persistence in Infinite-Dimensional Systems
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• Global stability of a population dynamics model with inhibition and negative feedback
• Solving DDEs in Matlab