Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence
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Publication:2203154
DOI10.1016/j.camwa.2019.03.004zbMath1442.92092OpenAlexW2922987544WikidataQ128173208 ScholiaQ128173208MaRDI QIDQ2203154
Sitian Tang, Hui Miao, Zhi-Dong Teng
Publication date: 5 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.03.004
global stabilityuniform persistencebasic reproduction numbernonlinear incidencehumoral immunereaction-diffusion virus infection model
Reaction-diffusion equations (35K57) Medical epidemiology (92C60) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
- Unnamed Item
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- Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis
- Viral dynamics model with CTL immune response incorporating antiretroviral therapy
- A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data
- Global stability of in-host viral models with humoral immunity and intracellular delays
- Stability and Hopf bifurcation of an HIV infection model with saturation incidence and two delays
- Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
- Dynamics analysis of a delayed viral infection model with immune impairment
- A reaction-diffusion malaria model with incubation period in the vector population
- Global stability of a diffusive virus dynamics model with general incidence function and time delay
- Geometric theory of semilinear parabolic equations
- Introduction to functional differential equations
- An HBV model with diffusion and time delay
- Immune impairment in HIV infection: existence of risky and immunodeficiency thresholds
- Global dynamics of a West Nile virus model in a spatially variable habitat
- A reaction-diffusion within-host HIV model with cell-to-cell transmission
- Theory and applications of partial functional differential equations
- Robust persistence for semidynamical systems.
- Dynamics of a dengue fever transmission model with crowding effect in human population and spatial variation
- Dynamics analysis of a delayed viral infection model with logistic growth and immune impairment
- Global stability of delayed viral infection models with nonlinear antibody and CTL immune responses and general incidence rate
- Propagation of HBV with spatial dependence
- Divergence theorems and the supersphere
- Global dynamics of zooplankton and harmful algae in flowing habitats
- GLOBAL STABILITY OF THE VIRAL DYNAMICS WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE
- Stability analysis of a virus infection model with humoral immunity response and two time delays
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Stability and Hopf bifurcation for a five-dimensional virus infection model with Beddington–DeAngelis incidence and three delays
- Spatial Ecology via Reaction‐Diffusion Equations
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Asymptotic Profiles of the Steady States for an SIS Epidemic Patch Model
- Dynamical systems in population biology
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