Abstract
This paper is denoted to the qualitative analysis of two species predator-prey model with Holling's type III functional response. Conditions for the global stability of nontrivial equilibrium points and conditions for the existence and uniqueness of limit cycles around the positive equilibrium point are obtained. The biological interpretations of these conditions are discussed. The authors believe that the conditions established in this paper are new to literature.
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Communicated by Yang Xu-can
This paper was reported at the International Conference on Ordinary Differential Equations, Fuzhou, China, June, 1985.
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Jun-ping, C., Hong-de, Z. The qualitative analysis of two species predator-prey model with Holling's type III functional response. Appl Math Mech 7, 77–86 (1986). https://doi.org/10.1007/BF01896254
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DOI: https://doi.org/10.1007/BF01896254