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Considering the characteristics of the propagation of worm, we can analyze it by epidemic model. In this paper, considering that to re-assembly system and the use of anti-virus software will take a period of time, so we introduce a time-delay to describe this period of time. On this basis, we build a SIDRQ model for Internet worm virus propagation depended on the two-factor model. By using the theory...
A delayed reaction-diffusion model is established to describe the hepatitis B virus (HBV) infection and control, where the diffusion is confined to a finite domain. According to the practical meaning of the model, the equilibrium solutions of the system are derived and analyzed. Different situations of time delay and diffusion are validated by computer simulations.
In this paper a delayed predator-prey model system with a Holling-type IV functional response is studied. The bifurcation analysis of the model shows that a sequence of Hopf bifurcations can occur at the coexisting equilibrium as the time delay crosses some critical values. An explicit algorithm for determining the direction of Hopf bifurcations and the stability of bifurcating non-trivial periodic...
A discrete-time competitive system with two species, multi-delays and fluctuating environment is considered. New sufficient conditions to guarantee the permanence of the ecosystem are obtained. An example is given to show that the results obtained in this paper are necessary complements to those related with this biomathematical model.
In this paper, we propose a model predictive control (MPC) law for a discrete time uncertain singular system with state delay and input constraints. The model uncertainty is assumed to be polytopic, and the delay is assumed to be unknown, but with a known upper bound. Using zero equation with the free variable matrix, we derive a sufficient condition for cost monotonicity in terms of LMI, which can...
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