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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