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A delayed SEIRS epidemic model with pulse vaccination and nonlinear incidence rate is proposed. We analyze the dynamical behaviors of this model and point out that there exists an infectionfree periodic solution which is globally attractive if R1 < 1, R2 > 1, and the disease is permanent. Our results indicate that a short period of pulse or a large pulse… (More)

According to biological strategy for pest control, a mathematical model with periodic releasing virus particles for insect viruses attacking pests is considered. By using Floquet’s theorem, small-amplitude perturbation skills and comparison theorem, we prove that all solutions of the system are uniformly ultimately bounded and there exists a globally… (More)

- Chunjin Wei, Lansun Chen
- J. Applied Mathematics
- 2012

A prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control is investigated. We obtain the sufficient conditions of the global asymptotical stability of the system without impulsive effects. By using the geometry theory of semicontinuous dynamic system and themethod of successor function, we obtain the systemwith… (More)

- Chunjin Wei, Shuwen Zhang, Lansun Chen
- J. Applied Mathematics
- 2013

The work is the analysis of a mathematical model of cheese whey fermentation for single-cell protein production with impulsive state feedback control.Through the analysis, the sufficient conditions of existence and stability of positive order-1 periodic solution are obtained. It is shown that the system either tends to a stable state or has a periodic… (More)

- Chunjin Wei, Lansun Chen
- Applied Mathematics and Computation
- 2014

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