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Stage-structured impulsive \(SI\) model for pest management. (English) Zbl 1146.37368

Summary: An \(SI\) epidemic model with stage structure is investigated. In the model, impulsive biological control is taken, that is, we release infected pests to the field at a fixed time periodically. We get a sufficient condition for the global asymptotical stability of the pest-eradication periodic solution \((0,0,\tilde I(t))\), and a condition for the permanence of the system. At last, a brief discussion shows that our results will be helpful for pest management.

MSC:

37N25 Dynamical systems in biology
92D30 Epidemiology
34K45 Functional-differential equations with impulses
34K20 Stability theory of functional-differential equations
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References:

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