Singular Control Systems
Nonlinear Control Systems: An Introduction
Nonlinear Control Systems: An Introduction
Hopf bifurcation in two SIRS density dependent epidemic models
Mathematical and Computer Modelling: An International Journal
Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity
Mathematical and Computer Modelling: An International Journal
Neimark-sacker bifurcation and control of a discrete epidemic model
CAR'10 Proceedings of the 2nd international Asia conference on Informatics in control, automation and robotics - Volume 2
Propagation modeling and analysis of network worm attack
Proceedings of the Sixth Annual Workshop on Cyber Security and Information Intelligence Research
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In this paper, the dynamical behaviors of an SEIR epidemic system governed by differential and algebraic equations with seasonal forcing in transmission rate are studied. The cases of only one varying parameter, two varying parameters and three varying parameters are considered to analyze the dynamical behaviors of the system. For the case of one varying parameter, the periodic, chaotic and hyperchaotic dynamical behaviors are investigated via the bifurcation diagrams, Lyapunov exponent spectrum diagram and Poincare section. For the cases of two and three varying parameters, a Lyapunov diagram is applied. A tracking controller is designed to eliminate the hyperchaotic dynamical behavior of the system, such that the disease gradually disappears. In particular, the stability and bifurcation of the system for the case which is the degree of seasonality @b"1=0 are considered. Then taking isolation control, the aim of elimination of the disease can be reached. Finally, numerical simulations are given to illustrate the validity of the proposed results.