Global stability of multigroup dengue disease transmission model

DOI10.1155/2012/342472zbMath1235.93183OpenAlexW2027894632WikidataQ58906701 ScholiaQ58906701MaRDI QIDQ410937

Xue-ping Wang, Xiao-Hua Ding, De-Qiong Ding

Publication date: 4 April 2012

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

Full work available at URL: https://doi.org/10.1155/2012/342472

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Application models in control theory (93C95) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Related Items (6)

On the dynamics of a class of multi-group models for vector-borne diseases ⋮ Threshold dynamics and optimal control of a dengue epidemic model with time delay and saturated incidence ⋮ Unnamed Item ⋮ Dengue transmission: mathematical model with discrete time delays and estimation of the reproduction number ⋮ Compartmental Disease Models with Heterogeneous Populations: A Survey ⋮ Lyapunov functions and global stability for a discretized multigroup SIR epidemic model

Cites Work

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• A deterministic model for gonorrhea in a nonhomogeneous population
• Analysis of a dengue disease transmission model
• Uniform persistence and flows near a closed positively invariant set
• Global dynamics of a SEIR model with varying total population size
• Dynamical systems: Stability theory and applications
• Global stability of epidemiological models with group mixing and nonlinear incidence rates
• A graph-theoretic approach to the method of global Lyapunov functions
• The Theory of the Chemostat

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