A predator-prey model with generic birth and death rates for the predator and Beddington-DeAngelis functional response

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• 作者：Tihomir Ivanov^a ; ^b ; ^{tbivanov@fmi.uni-sofia.bg} ; Neli Dimitrova^a ; ^{nelid@math.bas.bg}
• 关键词：Predator&ndash ; prey model ; Beddington&ndash ; DeAngelis response ; Generic birth and death rates for the predator ; Stability analysis ; Numerical simulation
• 刊名：Mathematics and Computers in Simulation
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：133
• 期：Complete
• 页码：111-123
• 全文大小：422 K
• 卷排序：133

文摘

We study a predator–prey model with a Beddington–DeAngelis response function and generic birth and death rates for the predator. The mathematical analysis of the model includes existence and uniqueness of positive solutions, their uniform boundedness, existence and global stability of equilibrium points. Numerical simulation confirms the theoretical results.