GLOBAL ATTRACTABILITY AND PERMANENCE FOR A NEW STAGE-STRUCTURED DELAY IMPULSIVE ECOSYSTEM

Xianglai Zhuo

doi:10.11948/2018.457

2018 Volume 8 Issue 2

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Xianglai Zhuo. GLOBAL ATTRACTABILITY AND PERMANENCE FOR A NEW STAGE-STRUCTURED DELAY IMPULSIVE ECOSYSTEM[J]. Journal of Applied Analysis & Computation, 2018, 8(2): 457-470. doi: 10.11948/2018.457

Citation:

Xianglai Zhuo. GLOBAL ATTRACTABILITY AND PERMANENCE FOR A NEW STAGE-STRUCTURED DELAY IMPULSIVE ECOSYSTEM[J]. Journal of Applied Analysis & Computation, 2018, 8(2): 457-470. doi: 10.11948/2018.457

GLOBAL ATTRACTABILITY AND PERMANENCE FOR A NEW STAGE-STRUCTURED DELAY IMPULSIVE ECOSYSTEM

Xianglai Zhuo

College of Mathematics and Systems Science, Shandong University of Science and Technology, Shandong, 266590 Qindao, China

Fund Project:

Abstract

Abstract

In this paper, a new stage-structured delay ecosystem with impulsive effect is formulated and some dynamical properties of this system is investigated.By using comparison theorem and the stroboscopic technique, we prove the existence of the predator-extinction periodic solution of this system and obtain some sufficient conditions to guarantee the global attractivity of the prey-extinction periodic solution. In the final, we also obtain the permanence of this system. It should be pointed out that the new mathematical method used in this paper can also be applied to investigate such other ecosystems corresponding to both impulsive and delay differential equations.
- Predator-prey system /
- impulsive effect /
- delay of digestion /
- global attractivity /
- permanence
MSC: 34C25;92B05

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References

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