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

Tihomir Ivanov and Neli Dimitrova

Mathematics and Computers in Simulation (MATCOM), 2017, vol. 133, issue C, 111-123

Abstract: 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.

Keywords: Predator–prey model; Beddington–DeAngelis response; Generic birth and death rates for the predator; Stability analysis; Numerical simulation (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:133:y:2017:i:c:p:111-123

DOI: 10.1016/j.matcom.2015.08.003

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