Threshold behaviour of a SI epidemiological model with two structuring variables

DOI10.1007/S00028-015-0303-5zbMath1359.35203OpenAlexW2223816029MaRDI QIDQ505984

Béatrice Laroche, Antoine Perasso

Publication date: 27 January 2017

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-015-0303-5

zbMATH Keywords

semigroupsbasic reproduction numberSI modelsstructured population dynamicsintegrodifferential PDE

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Global stability and uniform persistence for an infection load-structured SI model with exponential growth velocity ⋮ On first-order hyperbolic partial differential equations with two internal variables modeling population dynamics of two physiological structures ⋮ An immunization based on node activity ⋮ An Introduction to The Basic Reproduction Number in Mathematical Epidemiology ⋮ Nonlinear physiologically structured population models with two internal variables ⋮ Human-vector malaria transmission model structured by age, time since infection and waning immunity ⋮ Global stability in a competitive infection-age structured model

Cites Work

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• Persistence of bacteria and phages in a chemostat
• Identifiability analysis of an epidemiological model in a structured population
• Dynamics of populations structured by internal variables
• Threshold behaviour of a SIR epidemic model with age structure and immigration
• Semigroups of linear operators and applications to partial differential equations
• Equilibrium solutions of age-specific population dynamics of several species
• A mathematical model of the dynamics of scrapie in a sheep flock
• Two-Group Infection Age Model Including an Application to Nosocomial Infection
• Mathematical Models in Population Biology and Epidemiology
• Lyapunov functional and global asymptotic stability for an infection-age model
• Well-posedness of an epidemiological problem described by an evolution PDE
• One-Parameter Semigroups for Linear Evolution Equations
• How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?
• Resolvent Positive Operators
• Asymptotic Behavior and Numerical Simulations for an Infection Load-Structured Epidemiological Model: Application to the Transmission of Prion Pathologies

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