article · Dynamical Systems · 2004

Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications

Cited by 37Abstract and details only

Abstract

The paper studies the general non-autonomous predator–prey Kolmogorov systems. The general criteria of integrable form on the permanence and ultimate boundedness are established. As applications of these results, the sufficient conditions of integrable form on the permanence are obtained for non-autonomous Lotka–Volterra systems, Holling I-type functional response systems, Holling (m, n)-type functional response systems, Beddington–DeAngelis functional response systems, Leslie–Gower functional response systems and chemostat-type systems.

Cite this paper

APA 7

Teng, Z., Li, Z., & Jiang, H. (2004). Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications. Dynamical Systems, 19(2), 171–194. https://doi.org/10.1080/14689360410001698851

MLA 9

Teng, Zhidong, et al. “Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications.” Dynamical Systems, vol. 19, no. 2, 2004, pp. 171–94, https://doi.org/10.1080/14689360410001698851.

Chicago

Teng, Zhidong, Zhiming Li, and Haijun Jiang. 2004. “Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications.” Dynamical Systems 19 (2): 171–94. https://doi.org/10.1080/14689360410001698851.

Harvard

Teng, Z., Li, Z. and Jiang, H. (2004) ‘Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications’, Dynamical Systems, 19(2), pp. 171–194. Available at: https://doi.org/10.1080/14689360410001698851.

BibTeX

@article{teng2004permanence,
  title = {{Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications}},
  author = {Teng, Zhidong and Li, Zhiming and Jiang, Haijun},
  journal = {Dynamical Systems},
  volume = {19},
  number = {2},
  pages = {171--194},
  year = {2004},
  doi = {10.1080/14689360410001698851}
}

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