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Stability analysis of a class of predator-prey models controlled with state-dependent impulse. (Chinese. English summary) Zbl 1399.35066

Summary: Holling-IV predator-prey model controlled with state-dependent impulse and two different criticals is investigated. Using geometric analysis and successor function, the existence of first-order periodic solution of the system is proved. By quasi-PoincarĂ©’s criterion, the sufficient condition for the orbital asymptotical stability of first-order periodic solution of the system is given. Moreover, the reliability of achieved theoretical result is shown by numerical simulation.

MSC:

35B35 Stability in context of PDEs
35B10 Periodic solutions to PDEs
92D25 Population dynamics (general)
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