Qualitative analysis on a diffusive age-structured heroin transmission model

DOI10.1016/j.nonrwa.2020.103105zbMath1437.92118OpenAlexW3003690901MaRDI QIDQ1987403

Maia Martcheva, Xi-Chao Duan, Xue-Zhi Li

Publication date: 15 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103105

zbMATH Keywords

basic reproduction numberthreshold dynamicsheterogeneous environmentprinciple eigenvalueheroin transmission model

Mathematics Subject Classification ID

Epidemiology (92D30) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

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Cites Work

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• Dynamics of a diffusive age-structured HBV model with saturating incidence
• Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model
• Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
• Dynamics of a periodically pulsed bio-reactor model with a hydraulic storage zone
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
• On a system of reaction-diffusion equations arising from competition with internal storage in an unstirred chemostat
• Dynamical systems and evolution equations. Theory and applications
• Global asymptotic properties of a heroin epidemic model with treat-age
• ``Integrated semigroups and integrated solutions to abstract Cauchy problems
• Robust persistence for semidynamical systems.
• Saddle-point behavior for monotone semiflows and reaction-diffusion models
• Dynamics and asymptotical profiles of an age-structured viral infection model with spatial diffusion
• A spatial SIS model in advective heterogeneous environments
• A reaction–diffusion SIS epidemic model in a time-periodic environment
• Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
• Global Attractors and Steady States for Uniformly Persistent Dynamical Systems