Dynamics in a Beddington–DeAngelis prey–predator system with impulsive harvesting

Kuldeep Negi and Sunita Gakkhar

Ecological Modelling, 2007, vol. 206, issue 3, 421-430

Abstract: The impulsive harvesting strategy in prey–predator system with Beddington–DeAngelis functional response is studied. Conditions for existence and global stability of predator-free equilibrium solution have been established. The existence of nontrivial periodic solution is established when the predator-free periodic solution loses its stability. Numerical simulations of the impulsive system exhibit the rich complex dynamics in the positive octant for the key parameters.

Keywords: Impulsive harvesting; Beddington–DeAngelis functional response; Bifurcation; Extinction (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecomod:v:206:y:2007:i:3:p:421-430

DOI: 10.1016/j.ecolmodel.2007.04.007

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