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Uniform persistence and multistability in a two-predator–one-prey system with inter-specific and intra-specific competition

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Abstract

In this paper, we consider a two-predator–one-prey population model that incorporates both the inter-specific competition between two predator populations and the intra-specific competition within each predator population. We investigate the dynamics of this model by addressing the existence, local and global stability of equilibria, uniform persistence as well as saddle-node and Hopf bifurcations. Numerical simulations are presented to explore the joint impacts of inter-specific and intra-specific competition on competition outcomes. Though inter-specific competition along does not admit a stable coexistence equilibrium, with intra-specific competition, the coexistence of the two competing predator species becomes possible and the two coexisting predator species may maintain at two different equilibrium populations.

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Acknowledgements

The authors are very grateful to the reviewers’ comments and suggestions. This work was partially supported by Guangdong Science and Technology Department (No. 2020A1414010119), and National Natural Science Foundation of China (No. 12071095) and NSERC of Canada. Part of the work was carried out when YL was visiting the University of New Brunswick (UNB). YL wishes to thank the hospitality received from UNB. YL also would like to thank Prof. Zhiming Guo of Guangzhou University for very helpful discussions.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China

    Yuhua Long

  2. Center for Applied Mathematics, Guangzhou University, Guangzhou, 510006, China

    Yuhua Long & Jia Li

  3. Department of Mathematics and Statistics, University of New Brunswick, Fredericton, NB, E3B 5A3, Canada

    Lin Wang

  4. Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL, 35899, USA

    Jia Li

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  1. Yuhua Long
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Correspondence to Lin Wang.

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Long, Y., Wang, L. & Li, J. Uniform persistence and multistability in a two-predator–one-prey system with inter-specific and intra-specific competition. J. Appl. Math. Comput. 68, 767–794 (2022). https://doi.org/10.1007/s12190-021-01551-8

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  • DOI: https://doi.org/10.1007/s12190-021-01551-8

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