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

  • Received: 23 June 2020 Accepted: 20 July 2020 Published: 29 July 2020
  • MSC : 34C25; 92D25

  • 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.

    Citation: Shanshan Yu, Jiang Liu, Xiaojie Lin. Multiple positive periodic solutions of a Gause-type predator-prey model with Allee effect and functional responses[J]. AIMS Mathematics, 2020, 5(6): 6135-6148. doi: 10.3934/math.2020394

    Related Papers:

  • 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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    © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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