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Global Asymptotical Stability for a Diffusive Predator-Prey Model with Ratio-Dependent Holling Type III Functional Response

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Abstract

A diffusive predator–prey model with ratio-dependent Holling type III functional response is considered in this work. Sufficient conditions for the global asymptotical stability of the constant positive steady-state solution are derived by constructing recurrent sequences and using an iterative method. It is shown that our result supplements one of the main results of Shi and Li’s paper (Global asymptotic stability of a diffusive predator–prey model with ratio-dependent functional response. Appl Math Comput 250:71–77, 2015).

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Acknowledgements

This work is the Foundation of Fujian Education Bureau (JA15112).

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350007, Fujian, People’s Republic of China

    Wensheng Yang & Xuepeng Li

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  1. Wensheng Yang
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  2. Xuepeng Li
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Correspondence to Wensheng Yang.

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Yang, W., Li, X. Global Asymptotical Stability for a Diffusive Predator-Prey Model with Ratio-Dependent Holling Type III Functional Response. Differ Equ Dyn Syst 29, 453–461 (2021). https://doi.org/10.1007/s12591-017-0370-x

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