Global behavior of SIS epidemic models with age structure and spatial heterogeneity
From MaRDI portal
Publication:1756725
DOI10.1007/s13160-018-0300-5zbMath1406.35433OpenAlexW2799897466MaRDI QIDQ1756725
Toshikazu Kuniya, Hisashi Inaba, Jun-Yuan Yang
Publication date: 21 December 2018
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13160-018-0300-5
Epidemiology (92D30) Applications of functional analysis in biology and other sciences (46N60) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92)
Related Items
The impact of time delay in the transmission of Japanese encephalitis without vaccination, Dynamics and control of worm epidemic based on mobile networks by SEIQR-type model with saturated incidence rate, Asymptotic behavior of the basic reproduction number in an age-structured SIS epidemic patch model, Asymptotical profiles of an age-structured foot-and-mouth disease with nonlocal diffusion on a spatially heterogeneous environment, Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion, Global stability of an age-structured population model on several temporally variable patches, The basic reproduction number \(R_0\) in time-heterogeneous environments
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability results for an age-structured SIS epidemic model with vector population
- On a new perspective of the basic reproduction number in heterogeneous environments
- Gaussian lower bound for the Neumann Green function of a general parabolic operator
- Spreading speed and traveling waves for a multi-type SIS epidemic model
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Global stability of the steady states of an SIS epidemic reaction-diffusion model
- Threshold and stability results for an age-structured epidemic model
- A deterministic model for gonorrhea in a nonhomogeneous population
- Global behaviour in age structures S. I. S. models with seasonal periodicities and vertical transmission
- Global stability of a multi-group SIS epidemic model with varying total population size
- On age-structured SIS epidemic model for time dependent population
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- An epidemic model in a patchy environment
- Existence result for an age-structured SIS epidemic model with spatial diffusion
- A remark on the Gaussian lower bound for the Neumann heat kernel of the Laplace-Beltrami operator
- Numerical approximation of the basic reproduction number for a class of age-structured epidemic models
- Travelling wave solutions for a scalar age-structured equation
- Global dynamics of approximate solutions to an age-structured epidemic model with diffusion
- Global behavior of a multi-group SIS epidemic model with age structure
- Global Stability Analysis of a Metapopulation SIS Epidemic Model
- Global Behavior of an Age-Structured Epidemic Model
- Analytical and Numerical Results for the Age-Structured S-I-S Epidemic Model with Mixed Inter-Intracohort Transmission
- Asymptotic behavior for an SIS epidemic model and its approximation
- Qualitative behavior of numerical solutions to ans-i-s epidemic model
- A semigroup approach to the strong ergodic theorem of the multistate stable population process
- A multi-city epidemic model
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Age-Structured Population Dynamics in Demography and Epidemiology
