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Stability of a delayed competitive model with saturation effect and interval biological parameters

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Abstract

This work presents a delayed two-species competitive model with interval biological parameters, in which each interspecific competition term suffers delay and saturation effect. Sufficient criteria for the existence, local and global asymptotic stability of the unique positive equilibrium are established, respectively. Our theoretical and simulated results show that under appropriate conditions the fuzziness of biological parameters plays a critical role in the stability properties of the system while time delays have little influence.

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Acknowledgements

The authors thank the editor and referees for their careful reading and valuable comments. The work is supported by the NNSF of China (No. 11871201), and NSF of Hubei Province, China (No. 2019CFB241).

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Authors and Affiliations

  1. Department of Mathematics, Hubei Minzu University, Enshi, 445000, Hubei, People’s Republic of China

    Siyu Chen, Zhijun Liu, Lianwen Wang & Jing Hu

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  1. Siyu Chen
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  2. Zhijun Liu
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  3. Lianwen Wang
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  4. Jing Hu
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Correspondence to Zhijun Liu.

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Chen, S., Liu, Z., Wang, L. et al. Stability of a delayed competitive model with saturation effect and interval biological parameters. J. Appl. Math. Comput. 64, 1–15 (2020). https://doi.org/10.1007/s12190-020-01341-8

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  • DOI: https://doi.org/10.1007/s12190-020-01341-8

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