Population Harvesting on both Prey and Predator
American Journal of Applied Mathematics
Volume 5, Issue 3, June 2017, Pages: 91-98
Received: Apr. 29, 2017; Accepted: May 8, 2017; Published: Jun. 29, 2017
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Authors
Aynalem Berhanie Emru, School of Mathematical and Statistical Sciences, Hawassa University, Hawassa, Ethiopia
Purnachandra Rao Koya, School of Mathematical and Statistical Sciences, Hawassa University, Hawassa, Ethiopia
Mohammed Yiha Dawed, School of Mathematical and Statistical Sciences, Hawassa University, Hawassa, Ethiopia
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Abstract
In this paper, the prey predator model as well as maximum sustainable yield has been discussed. Both prey and predator populations are considered to follow logistic law of growth. Both prey and predator harvesting or combined harvesting and maximum sustainable yield have been discussed. The maximum sustainable yield has been observed in two ways: as a function of one variable and also a function of two variables. Non-dimensionalization or scaling of the model, in order to reduce the number of the parameters has been performed. Positivity and boundedness of the solution have been studied. Stability analysis of the equilibrium point and also numerical simulations of the model in two dimensional as well as three dimensional cases have been done using MATLAB ode 45.
Keywords
Maximum Sustainable Yield, Stability, Combined Harvesting, Positivity and Boundedness, Simulation Study
To cite this article
Aynalem Berhanie Emru, Purnachandra Rao Koya, Mohammed Yiha Dawed, Population Harvesting on both Prey and Predator, American Journal of Applied Mathematics. Vol. 5, No. 3, 2017, pp. 91-98. doi: 10.11648/j.ajam.20170503.14
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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