Dynamical Analysis of Multipathways and Multidelays of General Virus Dynamics Model
From MaRDI portal
Publication:4631663
DOI10.1142/S0218127419500317zbMath1416.34065OpenAlexW2926490556MaRDI QIDQ4631663
Ángel G. C. Pérez, E. J. Avila-Vales
Publication date: 18 April 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127419500317
Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Cell biology (92C37) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Medical epidemiology (92C60)
Related Items
Impact of B-cell impairment on virus dynamics with time delay and two modes of transmission, Stability of general pathogen dynamic models with two types of infectious transmission with immune impairment, Bifurcation Analysis of a Diffusive Virus Infection and Immune Response Model with Two Delays, Global stability of HIV/HTLV co-infection model with CTL-mediated immunity, Global dynamics of HIV/HTLV-I co-infection with effective CTL-mediated immune response, Impact of adaptive immune response and cellular infection on delayed virus dynamics with multi-stages of infected cells, Virus infection model under nonlinear perturbation: ergodic stationary distribution and extinction, Stability of a general CTL-mediated immunity HIV infection model with silent infected cell-to-cell spread
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Impact of intracellular delay, immune activation delay and nonlinear incidence on viral dynamics
- Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction
- Stability analysis of delay differential equation models of HIV-1 therapy for fighting a virus with another virus
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Repellers in systems with infinite delay
- Influence of delayed viral production on viral dynamics in HIV-1 infected patients
- Impacts of the cell-free and cell-to-cell infection modes on viral dynamics
- Qualitative analysis of a generalized virus dynamics model with both modes of transmission and distributed delays
- Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
- Stability and Hopf bifurcation for a virus infection model with delayed humoral immunity response
- A mathematical model of HTLV-I infection with two time delays
- On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays
- Persistence in Infinite-Dimensional Systems
- Impact of delays in cell infection and virus production on HIV-1 dynamics
- A Delayed Virus Infection Model with Cell-to-Cell Transmission and CTL Immune Response
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Stability of HIV-1 infection with saturated virus-target and infected-target incidences and CTL immune response