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Multiple positive periodic solutions of a Gause-type predator-prey model with Allee effect and functional responses
AIMS Mathematics ( IF 1.8 ) Pub Date : 2020-07-29 , DOI: 10.3934/math.2020394 Shanshan Yu , , Jiang Liu , Xiaojie Lin ,
AIMS Mathematics ( IF 1.8 ) Pub Date : 2020-07-29 , DOI: 10.3934/math.2020394 Shanshan Yu , , Jiang Liu , Xiaojie Lin ,
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.
中文翻译:
具有Allee效应和功能反应的Gause型捕食者-食饵模型的多个正周期解。
本文研究了具有Allee效应和Holling III类功能性反应的Gause型捕食者-捕食者模型。我们还考虑了捕食者竞争和人工收获对捕食者-猎物系统的影响。利用Mawhin重合度理论,建立了捕食者-被捕食者模型的多个正周期解的存在性。
更新日期:2020-07-29
中文翻译:
具有Allee效应和功能反应的Gause型捕食者-食饵模型的多个正周期解。
本文研究了具有Allee效应和Holling III类功能性反应的Gause型捕食者-捕食者模型。我们还考虑了捕食者竞争和人工收获对捕食者-猎物系统的影响。利用Mawhin重合度理论,建立了捕食者-被捕食者模型的多个正周期解的存在性。