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Multiple positive periodic solutions of a Gause-type predator-prey model with Allee effect and functional responses

Shanshan Yu Jiang Liu Xiaojie Lin

*Corresponding author: Xiaojie Lin linxiaojie1973@163.com

Math2020,6,6135doi:10.3934/math.2020394

This paper deals with a Gause-type predator-prey model with Allee effect and Holling type III functional response. We also consider the influence of predator competition and the artificial harvesting on predator-prey system. The existence of multiple positive periodic solutions of the predator-prey model is established by using the Mawhin coincidence degree theory.

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