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Nonexistence of nonconstant positive steady states of a diffusive predator-prey model

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In this paper, we investigate a diffusive predator-prey model with a general predator functional response. We show that there exist no nonconstant positive steady states when the interaction between the… Click to show full abstract

In this paper, we investigate a diffusive predator-prey model with a general predator functional response. We show that there exist no nonconstant positive steady states when the interaction between the predator and prey is strong. This result implies that the global bifurcating branches of steady state solutions are bounded loops for a predator-prey model with Holling type Ⅲ functional response.

Keywords: predator; predator prey; prey model; diffusive predator

Journal Title: Communications on Pure and Applied Analysis
Year Published: 2017

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