Repulsion effect on superinfecting virions by infected cells
From MaRDI portal
Publication:486647
DOI10.1007/s11538-014-0033-9zbMath1329.92074OpenAlexW2128557324WikidataQ41721052 ScholiaQ41721052MaRDI QIDQ486647
Publication date: 16 January 2015
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-014-0033-9
reaction diffusion equationsbasic reproduction numberminimal wave speedspreading speedtraveling wave solutionrepulsion of superinfecting virions
Related Items (42)
Modeling epidemic outbreaks in geographical regions: seasonal influenza in Puerto Rico ⋮ Modeling cell-to-cell spread of HIV-1 with nonlocal infections ⋮ Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis ⋮ Lyapunov functional for virus infection model with diffusion and state-dependent delays ⋮ Dynamics of virus infection models with density-dependent diffusion ⋮ Propagation dynamics in a diffusive SIQR model for childhood diseases ⋮ Dynamical analysis of a diffusive SIRS model with general incidence rate ⋮ Stability Analysis of the Immune System Induced by Chemotaxis ⋮ Spatial propagation in a within‐host viral infection model ⋮ Stability and instability in a three-component chemotaxis model for alopecia areata ⋮ Hepatitis C virus infection is blocked by HMGB1: a new nonlocal and time-delayed reaction-diffusion model ⋮ Global boundedness of the immune chemotaxis system with general kinetic functions ⋮ Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections ⋮ Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment ⋮ Partly inhibiting of blow-up by chemotactic repulsion in a cross-diffusion model for virus infection ⋮ Block effect on HCV infection by HMGB1 released from virus-infected cells: an insight from mathematical modeling ⋮ New insights into pharmacologic inhibition of pyroptotic cell death by necrosulfonamide: a PDE model ⋮ Time periodic reaction-diffusion equations for modeling 2-LTR dynamics in HIV-infected patients ⋮ On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models ⋮ GLOBAL DYNAMICS OF A REACTION AND DIFFUSION MODEL FOR AN HTLV-I INFECTION WITH MITOTIC DIVISION OF ACTIVELY INFECTED CELLS ⋮ Global dynamics of a controlled discontinuous diffusive SIR epidemic system ⋮ On a vector-host epidemic model with spatial structure ⋮ Caspase-1-mediated pyroptosis of the predominance for driving \(\mathrm{CD}4^+\) T cells death: a nonlocal spatial mathematical model ⋮ Chemotaxis Effect on Algae by Inorganic Polymer Flocculants: Backward Bifurcations and Traveling Wave Solutions ⋮ Dynamics and profiles of a diffusive host-pathogen system with distinct dispersal rates ⋮ A reaction-diffusion within-host HIV model with cell-to-cell transmission ⋮ Spatial-temporal dynamics of a novel PDE model: applications to pharmacologic inhibition of pyroptosis by necrosulfonamide ⋮ Spatial dynamics and optimization method for a network propagation model in a shifting environment ⋮ Global dynamics and travelling wave solutions for a class of non-cooperative reaction-diffusion systems with nonlocal infections ⋮ A diffusive virus infection dynamic model with nonlinear functional response, absorption effect and chemotaxis ⋮ Boundedness and stabilization of solutions to a chemotaxis May-Nowak model ⋮ Sufficient conditions for global dynamics of a viral infection model with nonlinear diffusion ⋮ A theoretical approach to understanding rumor propagation dynamics in a spatially heterogeneous environment ⋮ A diffusive virus model with a fixed intracellular delay and combined drug treatments ⋮ Global fuzzy adaptive asymptotic tracking control for nonlinear reaction-diffusion equations with time-varying coefficients ⋮ Threshold dynamics of a delayed nonlocal reaction-diffusion HIV infection model with both cell-free and cell-to-cell transmissions ⋮ Spatiotemporal fault detection, estimation and control for nonlinear reaction-diffusion equations ⋮ Threshold dynamics of a diffusive SIRI model with nonlinear incidence rate ⋮ Some models with repulsion effect on superinfecting viruses by infected cells ⋮ The SIS model with diffusion of virus in the environment ⋮ Global boundedness and stability analysis of the quasilinear immune chemotaxis system ⋮ A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global properties of basic virus dynamics models
- A reaction-diffusion malaria model with incubation period in the vector population
- Threshold dynamics of an infective disease model with a fixed latent period and non-local infections
- Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- An HBV model with diffusion and time delay
- Spreading speed and linear determinacy for two-species competition models
- Analysis of linear determinacy for spread in cooperative models
- Viral reproductive strategies: how can lytic viruses be evolutionarily competitive?
- Anomalous spreading speeds of cooperative recursion systems
- Propagation of HBV with spatial dependence
- Spreading speeds as slowest wave speeds for cooperative systems
- Repulsion of Superinfecting Virions: A Mechanism for Rapid Virus Spread
- A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
- The Numerical Computation of Connecting Orbits in Dynamical Systems
- Travelling waves of a hepatitis B virus infection model with spatial diffusion and time delay
- The Spectral Approximation of Linear Operators with Applications to the Computation of Eigenelements of Differential and Integral Operators
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- The Galerkin Method for the Numerical Solution of Fredholm Integral Equations of the Second Kind
This page was built for publication: Repulsion effect on superinfecting virions by infected cells
