Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 250, Issue -, Pages 193-211Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2014.10.085
Keywords
Stable coexistence; Oscillatory coexistence; Extinction; Local bifurcation; Global bifurcation
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Funding
- Council of Scientific and Industrial Research, India through their senior research fellowship
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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. (C) 2014 Elsevier Inc. All rights reserved.
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