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On a nonautonomous competitive system subject to stochastic and impulsive perturbations

Author

Listed:
  • Tan, Ronghua
  • Liu, Zhijun
  • Guo, Shengliang
  • Xiang, Huili

Abstract

This paper presents a nonautonomous impulsive stochastic differential model of competition between species which contains the classic two-species competitive Lotka–Volterra model as a special case. With the theory of impulsive stochastic differential equations, a good understanding of stochastic permanence and extinction of system is obtained. Two specific numerical examples are presented to support the analytical results. Conclusions are also given.

Suggested Citation

  • Tan, Ronghua & Liu, Zhijun & Guo, Shengliang & Xiang, Huili, 2015. "On a nonautonomous competitive system subject to stochastic and impulsive perturbations," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 702-714.
    • Handle: RePEc:eee:apmaco:v:256:y:2015:i:c:p:702-714
    DOI: 10.1016/j.amc.2015.01.074
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