Modeling cell-to-cell spread of HIV-1 with nonlocal infections
From MaRDI portal
Publication:1634944
DOI10.1155/2018/2139290zbMath1405.92250OpenAlexW2885315384WikidataQ129430377 ScholiaQ129430377MaRDI QIDQ1634944
Yi Song, Wencai Zhao, Xiaoting Fan
Publication date: 18 December 2018
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/2139290
Epidemiology (92D30) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical epidemiology (92C60)
Related Items
Structure preserving numerical analysis of HIV and CD4+T-cells reaction diffusion model in two space dimensions ⋮ Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays ⋮ State-dependent pulse vaccination and therapeutic strategy in an SI epidemic model with nonlinear incidence rate ⋮ Dynamics analysis of a delayed virus model with two different transmission methods and treatments ⋮ Global Hopf bifurcation of a delayed phytoplankton-zooplankton system considering toxin producing effect and delay dependent coefficient ⋮ Mathematical modeling, analysis and numerical simulation of HIV: the influence of stochastic environmental fluctuations on dynamics ⋮ Poincaré map approach to global dynamics of the integrated pest management prey-predator model ⋮ Dynamics analysis of stochastic epidemic models with standard incidence ⋮ Dynamics of a stochastic SIS epidemic model with nonlinear incidence rates ⋮ Stability analysis and control optimization of a prey-predator model with linear feedback control ⋮ The stationary distribution in a class of stochastic SIRS epidemic models with non-monotonic incidence and degenerate diffusion ⋮ Dynamic analysis of Beddington-DeAngelis predator-prey system with nonlinear impulse feedback control ⋮ Global dynamics of a model for treating microorganisms in sewage by periodically adding microbial flocculants ⋮ Double delayed feedback control of a nonlinear finance system ⋮ Dynamical analysis and optimal harvesting strategy for a stochastic delayed predator-prey competitive system with Lévy jumps ⋮ Dynamical analysis of two-microorganism and single nutrient stochastic chemostat model with Monod-Haldane response function ⋮ GEOMETRICAL ANALYSIS OF A PEST MANAGEMENT MODEL IN FOOD-LIMITED ENVIRONMENTS WITH NONLINEAR IMPULSIVE STATE FEEDBACK CONTROL
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global dynamics of a virus dynamical model with cell-to-cell transmission and cure rate
- Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis
- Dynamical analysis of SIR epidemic models with distributed delay
- Global dynamics for a new high-dimensional SIR model with distributed delay
- Repulsion effect on superinfecting virions by infected cells
- Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
- Heterogeneous viral environment in a HIV spatial model
- Threshold dynamics of an infective disease model with a fixed latent period and non-local infections
- Dynamics of a PDE viral infection model incorporating cell-to-cell transmission
- Global dynamics of a delay reaction-diffusion model for viral infection with specific functional response
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Global behavior of delay differential equations model of HIV infection with apoptosis
- Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
- Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
- A diffusive HIV infection model with nonlocal delayed transmission
- Dynamics of a nonautonomous stochastic SIS epidemic model with double epidemic hypothesis
- Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination
- Application of stochastic inequalities to global analysis of a nonlinear stochastic SIRS epidemic model with saturated treatment function
- Adaptive evolution of virulence-related traits in a susceptible-infected model with treatment
- Analysis and numerical simulations of a stochastic SEIQR epidemic system with quarantine-adjusted incidence and imperfect vaccination
- Caspase-1-mediated pyroptosis of the predominance for driving \(\mathrm{CD}4^+\) T cells death: a nonlocal spatial mathematical model
- 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.
- Spatio-temporal dynamics near the steady state of a planktonic system
- Stochastic inequalities and applications to dynamics analysis of a novel SIVS epidemic model with jumps
- Travelling wave solutions for a nonlocal dispersal HIV infection dynamical model
- Hepatitis C virus infection is blocked by HMGB1: a new nonlocal and time-delayed reaction-diffusion model
- Propagation of HBV with spatial dependence
- Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model
- Global dynamics of a PDE in-host viral model
- A Nonlocal and Time-Delayed Reaction-Diffusion Model of Dengue Transmission
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- GLOBAL ANALYSIS FOR A DELAYED SIV MODEL WITH DIRECT AND ENVIRONMENTAL TRANSMISSIONS
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
- GLOBAL DYNAMICS OF A DELAYED HIV-1 INFECTION MODEL WITH ABSORPTION AND SATURATION INFECTION
- Dynamical systems in population biology
- A non-local delayed and diffusive predator-prey model.
