Global behavior of SIS epidemic models with age structure and spatial heterogeneity

No abstract is available for this paper.

• Publication year

  2018

• Venue

  Japan Journal of Industrial and Applied Mathematics

• Publication date

  2018-05-10

• Fields of study

  Mathematics, Environmental Science

• Identifiers
  DOI 10.1007/S13160-018-0300-5
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Analysis of Age-Structured Population Models with an Additional Structure

  2020cited by this paper
• Numerical approximation of the basic reproduction number for a class of age-structured epidemic models

  2017cited by this paper
• Mathematical Epidemiology Of Infectious Diseases Model Building Analysis And Interpretation

  2016cited by this paper
• Stability Results for an Age-Structured SIS Epidemic Model with Vector Population

  2015cited by this paper
• Existence result for an age-structured SIS epidemic model with spatial diffusion

  2015cited by this paper
• A remark on the Gaussian lower bound for the Neumann heat kernel of the Laplace–Beltrami operator

  2015cited by this paper
• Global stability of a multi-group SIS epidemic model with varying total population size

  2015cited by this paper
• Gaussian lower bound for the Neumann Green function of a general parabolic operator

  2013cited by this paper
• Global Stability Analysis of a Metapopulation SIS Epidemic Model

  2012cited by this paper
• On a new perspective of the basic reproduction number in heterogeneous environments

  2011cited by this paper
• Diseases in metapopulations

  2009cited by this paper
• Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity

  2009cited by this paper
• Global stability of the steady states of an SIS epidemic reaction–diffusion model☆

  2009cited by this paper
• Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model

  2008cited by this paper
• Spreading speed and traveling waves for a multi-type SIS epidemic model

  2006cited by this paper
• Travelling wave solutions for a scalar age-structured equation

  2006cited by this paper
• Global dynamics of approximate solutions to an age-structured epidemic model with diffusion

  2006cited by this paper
• Global behavior of a multi-group SIS epidemic model with age structure

  2005cited by this paper
• An epidemic model in a patchy environment.

  2004cited by this paper
• Spatial deterministic epidemics

  2003cited by this paper
• A multi-city epidemic model

  2003cited by this paper
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission.

  2002cited by this paper
• Asymptotic behavior for an SIS epidemic model and its approximation

  1999cited by this paper
• On age-structured SIS epidemic model for time dependent population

  1999cited by this paper
• Evolution Semigroups in Dynamical Systems and Differential Equations

  1999cited by this paper
• Qualitative behavior of numerical solutions to ans-i-s epidemic model

  1998cited by this paper
• Global Behaviour in Age Structured S.I.S. Models with Seasonal Periodicities and Vertical Transmission

  1997cited by this paper
• Analytical and numerical results for the age-structured S-I-S epidemic model with mixed inter-intracohort transmission

  1992cited by this paper
• Global behavior of an age-structured epidemic model

  1991influential reference
• Threshold and stability results for an age-structured epidemic model

  1990cited by this paper
• A semigroup approach to the strong ergodic theorem of the multistate stable population process.

  1988cited by this paper
• A simple model for the spatial spread and control of rabies.

  1985cited by this paper
• Real and Functional Analysis

  1978cited by this paper
• A Deterministic Model for Gonorrhea in a Nonhomogeneous Population

  1976cited by this paper
• Linear operators leaving invariant a cone in a Banach space

  1950cited by this paper
• Contributions to the mathematical theory of epidemics: V. Analysis of experimental epidemics of mouse-typhoid; a bacterial disease conferring incomplete immunity

  1939cited by this paper
• A contribution to the mathematical theory of epidemics

  1927cited by this paper

• Threshold and stability results for an age-structured SIR epidemic model with spatial diffusion

  2026cites this paper
• Propagation Dynamic for a Physiological Age-Structured SIR Epidemic Model with Diffusion

  2025cites this paper
• Age-Structured Epidemic Model with Spatial Heterogeneity

  2025cites this paper
• Asymptotic behavior of an age-structured SIS model with nonlinear force of infection

  2025cites this paper
• Analysis of a nonlinear age-structured SIS epidemic model with spatial diffusion

  2025influential citation
• Kermack-McKendrick type models for epidemics with nonlocal aggregation terms

  2025cites this paper
• Dynamics and asymptotic profiles on an age-structured SIS epidemic model with random diffusion and advection

  2024cites this paper
• Evaluation of age-structured vaccination strategies for curbing the disease spread

  2024cites this paper
• Heterogeneous propagation processes between awareness and epidemic on signed multiplex networks

  2024cites this paper
• Kermack-McKendrick type models for epidemics with nonlocal aggregation terms

  2024cites this paper
• Reaction-Diffusion Equations in Mathematical Models Arising in Epidemiology

  2023cites this paper
• Asymptotic behavior of the basic reproduction number in an age-structured SIS epidemic patch model

  2023cites this paper
• Asymptotical profiles of an age-structured foot-and-mouth disease with nonlocal diffusion on a spatially heterogeneous environment

  2023cites this paper
• Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion

  2021cites this paper
• Matrix-Based Formulation of Heterogeneous Individual-Based Models of Infectious Diseases: Using SARS Epidemic as a Case Study

  2021cites this paper
• Dynamics and Control of Worm Epidemic Based on Mobile Networks by SEIQR-Type Model with Saturated Incidence Rate

  2021cites this paper
• Global stability of an age-structured population model on several temporally variable patches

  2021cites this paper
• Metapopulation and Multigroup Age-Structured Models

  2020cites this paper
• The basic reproduction number R0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R_0$$\end{document} in time-heterogene

  2019cites this paper