Global dynamics of a diffusive viral infection model with spatial heterogeneity
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Publication:6157227
DOI10.1016/j.nonrwa.2022.103763zbMath1517.35124MaRDI QIDQ6157227
Publication date: 20 June 2023
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
asymptotic stabilityuniform persistencebasic reproduction numbercell-free infectioncytokine-enhanced viral infection
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (3)
\( \kappa \)-contracting in a degenerated diffusive virus infection model with spatial heterogeneity ⋮ Threshold dynamics of a degenerate diffusive HBV infection model with DNA-containing capsids in heterogeneous environment ⋮ Qualitative analysis for an HIV infection model with caspase-1-mediated pyroptosis of the predominance: threshold dynamics and traveling waves
Cites Work
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- Pulsating waves of a partially degenerate reaction-diffusion system in a periodic habitat
- A system of partial differential equations modeling the competition for two complementary resources in flowing habitats
- Dynamics of a periodically pulsed bio-reactor model with a hydraulic storage zone
- Dynamics and profiles of a diffusive host-pathogen system with distinct dispersal rates
- Dynamics of a PDE viral infection model incorporating cell-to-cell transmission
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Monotone wavefronts for partially degenerate reaction-diffusion systems
- On a system of reaction-diffusion equations arising from competition with internal storage in an unstirred chemostat
- Semigroups of linear operators and applications to partial differential equations
- Caspase-1-mediated pyroptosis of the predominance for driving \(\mathrm{CD}4^+\) T cells death: a nonlocal spatial mathematical model
- Robust persistence for semidynamical systems.
- Viral diffusion and cell-to-cell transmission: mathematical analysis and simulation study
- Spatial-temporal dynamics of a novel PDE model: applications to pharmacologic inhibition of pyroptosis by necrosulfonamide
- Dynamics of reaction-diffusion equations for modeling CD\(4^+\) T cells decline with general infection mechanism and distinct dispersal rates
- Complex dynamics of a time periodic nonlocal and time-delayed model of reaction-diffusion equations for modeling \(\mathrm{CD}4^+\) T cells decline
- Propagation of HBV with spatial dependence
- Global dynamics of a PDE in-host viral model
- Persistence in Infinite-Dimensional Systems
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- One-Parameter Semigroups for Linear Evolution Equations
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
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