Persistence and periodic orbits for an SIS model in a polluted environment

DOI10.1016/S0898-1221(04)90064-8zbMath1064.92040OpenAlexW1985127772MaRDI QIDQ1767794

Zhien Ma, Feng Wang

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(04)90064-8

zbMATH Keywords

PersistenceThresholdGlobally attractivity

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (10)

Dynamics of an epidemic model with impact of toxins ⋮ Dynamics and calculation of the basic reproduction number for a nonlocal dispersal epidemic model with air pollution ⋮ Dynamics of an SI epidemic model with external effects in a polluted environment ⋮ The spatial and temporal effects of Fog–Haze pollution on the influenza transmission ⋮ Modeling the dynamics of a single-species model with pollution treatment in a polluted environment ⋮ Global stability analysis of a nonautonomous stage-structured competitive system with toxic effect and double maturation delays ⋮ Stochastic periodic solution of a susceptible-infective epidemic model in a polluted environment under environmental fluctuation ⋮ A switching model for the impact of toxins on the spread of infectious diseases ⋮ Analysis of a stochastic susceptible-infective epidemic model in a polluted atmospheric environment ⋮ Dynamics and approximation of positive solution of the stochastic SIS model affected by air pollutants

Cites Work

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• Qualitative analyses of communicable disease models
• The threshold of population survival in a polluted chemostat model.
• The Mathematics of Infectious Diseases
• Matrix Diagonal Stability and Its Implications
• Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)

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