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Effects of over-harvesting and drought on a predator-prey system with optimal control

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dc.creator Mapunda, Alanus
dc.creator Mureithi, Eunice
dc.creator Nyimvua, Shaban
dc.creator Sagamiko, Thadei
dc.date 2018-11-08T10:12:53Z
dc.date 2018-11-08T10:12:53Z
dc.date 2018-08-31
dc.date.accessioned 2021-05-03T13:36:17Z
dc.date.available 2021-05-03T13:36:17Z
dc.identifier 2162-1993
dc.identifier http://hdl.handle.net/20.500.11810/4973
dc.identifier.uri http://hdl.handle.net/20.500.11810/4973
dc.description In this paper, a two species predator-prey model is developed where prey is affected by over-harvesting and drought and predator is affected by drought. The intention is to investigate the impact of over-harvesting and drought on predator-prey system, and suggest control strategies to alleviate the problem of loss of prey and predator species due to over-harvesting and drought. The control strategies suggested are creation of reserve areas with restriction of harvesting for controlling over-harvesting and construction of dams for mitigating drought effects. The results obtained from theoretical and numerical simulation of the predator-prey model with harvesting and drought without control strategies showed that, both harvesting and drought affect the predator- prey population negatively. However, the results obtained from numerical simulations of the model with control measures showed that, the use of control strategies one at a time encourages the increase of the prey and predator species to the optimal population size. Furthermore, the best result is obtained when control strategies, creation of reserve areas with restriction of harvesting and construction of dams are applied simultaneously.
dc.language en
dc.publisher Open Journal of Ecology
dc.subject Predator-Prey System, Over-Harvesting, Drought, Optimal Control
dc.title Effects of over-harvesting and drought on a predator-prey system with optimal control
dc.type Journal Article, Peer Reviewed


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