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The dynamics of a stage-structured predator-prey system with impulsive effect and Holling mass defence. (English) Zbl 1236.34106
Summary: A stage-structured Holling mass defence predator-prey model with impulsive effect is investigated. By using comparison theorem and the stroboscopic technique, sufficient conditions for the global attractivity of mature prey-extinction periodic solution and permanence of the system are obtained. Furthermore, the numerical analysis is also inserted to illuminate the feasibility of the theoretical results.
MSC:
34K45Functional-differential equations with impulses
34K60Qualitative investigation and simulation of models
92D25Population dynamics (general)
37N05Dynamical systems in classical and celestial mechanics
34K13Periodic solutions of functional differential equations
34K20Stability theory of functional-differential equations
92D40Ecology
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