Extinction and stability of an impulsive system with pure delays. (English) Zbl 1408.34065
Summary: In this paper, we consider an impulsive competitive system with infinite delays and investigate the extinction and stability of the system. For the corresponding impulsive logistic model, our stability conditions are weaker than those of X. Yang et al. [ibid. 24, No. 4, 420–427 (2011; Zbl 1218.34087)].
MSC:
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 34K45 | Functional-differential equations with impulses |
| 34K25 | Asymptotic theory of functional-differential equations |
| 34K20 | Stability theory of functional-differential equations |
Citations:
Zbl 1218.34087References:
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