Global asymptotic stability and a property of the SIS model on bipartite networks

DOI10.1016/j.nonrwa.2011.09.003zbMath1238.34110OpenAlexW2000652491MaRDI QIDQ420136

Jiang Zhong, Luosheng Wen

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.09.003

zbMATH Keywords

global asymptotic stabilityepidemic thresholdbipartite network

Mathematics Subject Classification ID

Epidemiology (92D30) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

• Unnamed Item
• Unnamed Item
• Dynamical analysis of a sex-structured Chlamydia trachomatis transmission model with time delay
• Adaptive synchronization of bipartite dynamical networks with distributed delays and nonlinear derivative coupling
• Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model
• Global stability of two-group SIR model with random perturbation
• Modelling sexually transmitted infections: the effect of partnership activity and number of partners on \(R_0\)
• The dynamics of an epidemic model for pest control with impulsive effect
• The complete classification for dynamics of an SIS STD model in terms of four parameters
• A note on the global behaviour of the network-based SIS epidemic model
• Output feedback stabilization for a class of nonlinear time-evolution systems
• Global-stability problem for coupled systems of differential equations on networks
• A deterministic model for gonorrhea in a nonhomogeneous population
• Human sexual contact network as a bipartite graph
• Global behavior of a multi-group SIS epidemic model with age structure
• Global stability of epidemiological models with group mixing and nonlinear incidence rates
• Statistical mechanics of complex networks
• The Structure and Function of Complex Networks