Stochastically asymptotically stability of the multi-group SEIR and SIR models with random perturbation

Communications in Nonlinear Science and Numerical Simulation

Volumn 17, Issue 6, 2012, Pages 2501-2516

  Yuan, Chengjun ^a,e   Jiang, Daqing ^a   O'Regan, Donal ^b   Agarwal, Ravi P ^c,d  

^a NORTHEAST NORMAL UNIVERSITY   (China)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^c Florida Institute of Technology   (United States)

^d KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^e HARBIN UNIVERSITY   (China)

Author keywords

Brownian motion; It 's formula; Kirchhoff's Matrix Tree Theorem; Lyapunov function; Stochastic asymptotically stable; Stochastic multi group SEIR and SIR model

Indexed keywords

GRAPH THEORY; LYAPUNOV FUNCTIONS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

ASYMPTOTICALLY STABILITY; ENDEMIC EQUILIBRIUM; ITÔ FORMULA; KIRCHHOFF'S MATRIX-TREE THEOREMS; LYAPUNOV'S FUNCTIONS; MULTI-GROUP; RANDOM PERTURBATIONS; SIR MODEL; STOCHASTIC ASYMPTOTICALLY STABLES; STOCHASTIC MULTI-GROUP SEIR AND SIR MODELS;

BROWNIAN MOVEMENT;

EID: 84855233210     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.07.025     Document Type: Article

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