Threshold dynamics for a nonautonomous schistosomiasis model in a periodic environment

DOI10.1007/s12190-013-0750-5zbMath1302.34074OpenAlexW2024810563MaRDI QIDQ741401

Shujing Gao, Xiangyu Zhang, Huahua Cao

Publication date: 12 September 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-013-0750-5

zbMATH Keywords

periodic systemsextinctionnonautonomous schistosomiasis modeluniform permanence

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (5)

A mathematical model for the seasonal transmission of schistosomiasis in the lake and marshland regions of China ⋮ Modeling the parasitic filariasis spread by mosquito in periodic environment ⋮ Heterogeneity in schistosomiasis transmission dynamics ⋮ Prevalence-based modeling approach of schistosomiasis: global stability analysis and integrated control assessment ⋮ GLOBAL DYNAMICS OF A SEASONAL MATHEMATICAL MODEL OF SCHISTOSOMIASIS TRANSMISSION WITH GENERAL INCIDENCE FUNCTION

Cites Work

• Unnamed Item
• On a new perspective of the basic reproduction number in heterogeneous environments
• On the biological interpretation of a definition for the parameter \(R _{0}\) in periodic population models
• Seasonality and mixed vaccination strategy in an epidemic model with vertical transmission
• The effect of population dispersal on the spread of a disease
• Modelling within host parasite dynamics of schistosomiasis
• Threshold dynamics for compartmental epidemic models in periodic environments
• Mathematical analysis of a sex-structured HIV/AIDS model with a discrete time delay
• Threshold dynamics for an HIV model in periodic environments
• Global dynamics of a class of SEIRS epidemic models in a periodic environment
• On a nonautonomous SEIRS model in epidemiology
• Dynamical systems in population biology

This page was built for publication: Threshold dynamics for a nonautonomous schistosomiasis model in a periodic environment