Competitive exclusion in a multi-strain virus model with spatial diffusion and age of infection

DOI10.1016/j.jmaa.2017.10.074zbMath1381.92076OpenAlexW2767850820WikidataQ110648425 ScholiaQ110648425MaRDI QIDQ1684784

Xi-Chao Duan, Xue-Zhi Li, Maia Martcheva, Jun-Feng Yin

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.074

zbMATH Keywords

competitive exclusionreproduction numbermulti-strainspatial diffusionage of infectiongeneral incidence function

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

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Cites Work

• Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity
• Turing patterns from dynamics of early HIV infection
• Global analysis of age-structured within-host virus model
• A multi-strain virus model with infected cell age structure: application to HIV
• Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion
• Dynamics of a periodically pulsed bio-reactor model with a hydraulic storage zone
• A competitive exclusion principle for pathogen virulence
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Global stability of a diffusive virus dynamics model with general incidence function and time delay
• Introduction to functional differential equations
• ``Integrated semigroups and integrated solutions to abstract Cauchy problems
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Competitive exclusion in an infection-age structured model with environmental transmission
• Global dynamics of a virus dynamical model with general incidence rate and cure rate
• GLOBAL STABILITY OF THE VIRAL DYNAMICS WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE
• Persistence in Infinite-Dimensional Systems
• Abstract Functional Differential Equations and Reaction-Diffusion Systems
• Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion
• Multistrain virus dynamics with mutations: a global analysis
• Virus Dynamics: A Global Analysis
• Global Attractors and Steady States for Uniformly Persistent Dynamical Systems

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