Dynamics of an almost periodic epidemic model with non-local infections and latency in a patchy environment

DOI10.3934/dcdsb.2024008zbMATH Open1546.34183MaRDI QIDQ6568798

Jiangqian Zhang, Bin-Guo Wang

Publication date: 8 July 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

zbMATH Keywords

threshold dynamicsbasic reproduction ratioskew-product semiflowalmost periodicity\textit{SIR} model

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modeling pulse infectious events irrupting into a controlled context: a SIS disease with almost periodic parameters
• Basic reproduction ratios for periodic compartmental models with time delay
• Dynamics of an epidemic model with non-local infections for diseases with latency over a patchy environment
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Threshold dynamics for compartmental epidemic models in periodic environments
• Strongly order preserving semiflows generated by functional differential equations
• Almost periodic differential equations
• Threshold of disease transmission in a patch environment
• A contribution to the mathematical theory of epidemics.
• Uniform persistence and permanence for non-autonomous semiflows in population biology
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Basic reproduction ratios for almost periodic compartmental models with time delay
• Simulating the SARS outbreak in Beijing with limited data
• An almost periodic Ross-Macdonald model with structured vector population in a patchy environment
• Basic reproduction ratios for almost periodic compartmental epidemic models
• The epidemic threshold of vector-borne diseases with seasonality
• The effect of global travel on the spread of SARS
• Transmission dynamics and high infectiousness of coronavirus disease 2019
• Almost automorphic and almost periodic dynamics in skew-product semiflows
• A multi-city epidemic model
• The Theory of the Chemostat
• Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
• An Age-Structured Epidemic Model in a Patchy Environment
• An Epidemic Model with Population Dispersal and Infection Period
• Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
• Dynamical systems in population biology

This page was built for publication: Dynamics of an almost periodic epidemic model with non-local infections and latency in a patchy environment