Journal
AIMS MATHEMATICS
Volume 5, Issue 6, Pages 6135-6148Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2020394
Keywords
predator-prey model; Allee effect; functional response; harvesting term; periodic solutions; Mawhin coincidence degree
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Funding
- Natural Science Foundation of China [11771185]
- Postgraduate Research and Practice Innovation Program of Jiangsu Province [KYCX18-2091, KYCX20-2082, KYCX20-2206]
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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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