Global dynamics of an additional food provided predator–prey system with constant harvest in predators

Moitri Sen, P.D.N. Srinivasu and Malay Banerjee

Applied Mathematics and Computation, 2015, vol. 250, issue C, 193-211

Abstract: The article aims to study the global dynamics associated with a predator prey system when the predator is provided with additional food and harvested at a constant rate. This study supplements the existing literature on the dynamics of additional food provided predator prey system by focusing on the consequences of harvesting the predators. It presents a comprehensive view on the entire range of bifurcations that take place in the considered system and highlights the dependence of the system dynamics on its vital parameters. This study provides important tools for investigations pertaining to controllability of the system which are essential from the real world applications perspective.

Keywords: Stable coexistence; Oscillatory coexistence; Extinction; Local bifurcation; Global bifurcation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:193-211

DOI: 10.1016/j.amc.2014.10.085

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