Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis

DOI10.1016/j.nonrwa.2016.04.013zbMath1352.92094OpenAlexW2475447503MaRDI QIDQ321972

Xiulan Lai, Wanbiao Ma, Wei Wang

Publication date: 14 October 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.04.013

zbMATH Keywords

chemotaxistravelling wave solutionsTuring instabilityabsorption effectrepulsion of superinfecting virionsvirus infection dynamic model

Mathematics Subject Classification ID

Epidemiology (92D30) Cell biology (92C37) Medical epidemiology (92C60) Cell movement (chemotaxis, etc.) (92C17) Traveling wave solutions (35C07)

Related Items (37)

Global dynamics of a diffusive viral infection model with general incidence function and distributed delays ⋮ Geometrical analysis and control optimization of a predator-prey model with multi state-dependent impulse ⋮ Modeling cell-to-cell spread of HIV-1 with nonlocal infections ⋮ Spatiotemporal dynamics of a delayed viral infection model with two modes of transmission and immune impairment ⋮ Lyapunov functional for virus infection model with diffusion and state-dependent delays ⋮ Analysis of a diffusive virus infection model with humoral immunity, cell-to-cell transmission and nonlinear incidence ⋮ Dynamics of virus infection models with density-dependent diffusion ⋮ Travelling wave solutions for a nonlocal dispersal HIV infection dynamical model ⋮ Threshold dynamics and competitive exclusion in a virus infection model with general incidence function and density-dependent diffusion ⋮ Stabilization in a chemotaxis model for virus infection ⋮ Dynamical analysis of a diffusive SIRS model with general incidence rate ⋮ Stability Analysis of the Immune System Induced by Chemotaxis ⋮ 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 ⋮ Partly inhibiting of blow-up by chemotactic repulsion in a cross-diffusion model for virus infection ⋮ Boundedness in a chemotaxis-May-Nowak model for virus dynamics with mildly saturated chemotactic sensitivity and conversion ⋮ Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence ⋮ Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination ⋮ 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 ⋮ Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates ⋮ GLOBAL DYNAMICS OF A REACTION AND DIFFUSION MODEL FOR AN HTLV-I INFECTION WITH MITOTIC DIVISION OF ACTIVELY INFECTED CELLS ⋮ Spatial dynamics and optimization method for a network propagation model in a shifting environment ⋮ Dynamical analysis of a reaction–diffusion SEI epidemic model with nonlinear incidence rate ⋮ Global dynamics and travelling wave solutions for a class of non-cooperative reaction-diffusion systems with nonlocal infections ⋮ Dynamics of a diffusive vaccination model with nonlinear incidence ⋮ Unnamed Item ⋮ Boundedness and stabilization of solutions to a chemotaxis May-Nowak model ⋮ Dynamical analysis of a delayed reaction-diffusion virus infection model with logistic growth and humoral immune impairment ⋮ A theoretical approach to understanding rumor propagation dynamics in a spatially heterogeneous environment ⋮ Threshold dynamics of an age-space structured brucellosis disease model with Neumann boundary condition ⋮ Global dynamics in a reaction-diffusion multi-group SIR epidemic model with nonlinear incidence ⋮ Dynamics of reaction-diffusion equations for modeling CD\(4^+\) T cells decline with general infection mechanism and distinct dispersal rates ⋮ Some models with repulsion effect on superinfecting viruses by infected cells ⋮ Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection ⋮ Global boundedness and stability analysis of the quasilinear immune chemotaxis system ⋮ A note on the propagation dynamics in a nonlocal dispersal HIV infection model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global properties of basic virus dynamics models
• Turing patterns from dynamics of early HIV infection
• Repulsion effect on superinfecting virions by infected cells
• Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
• A reaction-diffusion malaria model with incubation period in the vector population
• Global dynamics of an in-host viral model with intracellular delay
• Spatial models of virus-immune dynamics
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Global stability and periodic solution of the viral dynamics
• Global stability of a diffusive virus dynamics model with general incidence function and time delay
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• Global properties of a class of HIV models
• A user's guide to PDE models for chemotaxis
• Avian-human influenza epidemic model with diffusion
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Introduction to functional differential equations
• Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction--diffusion models.
• An HBV model with diffusion and time delay
• Dynamics of an HBV model with diffusion and delay
• Theory and applications of partial functional differential equations
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Robust persistence for semidynamical systems.
• Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
• Viral reproductive strategies: how can lytic viruses be evolutionarily competitive?
• A numerical study on an influenza epidemic model with vaccination and diffusion
• Dynamics of a diffusive HBV model with delayed Beddington-DeAngelis response
• Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays
• Travelling wave solutions in delayed reaction diffusion systems with partial monotonicity
• Asymptotic properties of a HIV-1 infection model with time delay
• Repulsion of Superinfecting Virions: A Mechanism for Rapid Virus Spread
• A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
• Travelling waves of a hepatitis B virus infection model with spatial diffusion and time delay
• Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
• Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
• Travelling wave solutions for an infection-age structured model with diffusion
• GLOBAL DYNAMICS OF A DELAYED HIV-1 INFECTION MODEL WITH ABSORPTION AND SATURATION INFECTION
• Existence of travelling wave solutions in delayed reaction–diffusion systems with applications to diffusion–competition systems
• Dynamical systems in population biology
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
• Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
• Traveling wave fronts of reaction-diffusion systems with delay

This page was built for publication: Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis