Optimal control of a threatened wildebeest-lion prey-predator system incorporating a constant prey refuge in the Serengeti ecosystem

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dc.contributor.authorSagamiko, Thadei Damas
dc.contributor.authorShaban, Nyimvua
dc.contributor.authorNahonyo, Cuthbert Leonard
dc.contributor.authorMakinde, Oluwole Daniel
dc.date.accessioned2024-08-19T12:36:01Z
dc.date.available2024-08-19T12:36:01Z
dc.date.issued2015
dc.descriptionAbstract. Full-text available at https://www.researchgate.net/profile/Thadei-Sagamiko-3/publication/281618336_Optimal_Control_of_a_Threatened_Wildebeest-lion_Prey-predator_System_Incorporating_a_Constant_Prey_Refuge_in_the_Serengeti_Ecosystem/links/5f3f5e33a6fdcccc43debf94/Optimal-Control-of-a-Threatened-Wildebeest-lion-Prey-predator-System-Incorporating-a-Constant-Prey-Refuge-in-the-Serengeti-Ecosystem.pdf
dc.description.abstractIn this paper a two species prey-predator model is developed in which prey is wildebeest and predator is lion and both are threatened by poaching, drought and diseases.The system is found in the Serengeti ecosystem.The model is constructed based on Holling type II functional response incorporating a constant prey refuge. We apply optimal control theory to investigate optimal strategies for controlling the threats in the system where anti-poaching patrols are used for controlling poaching, construction of dams for mitigating drought and vaccination for diseases control. The possible impact of using combinations of three controls either one at a time or two at a time on the threatened system plus a refuge factor is examined. All control strategies have shown significant increase in prey and predator populations . However, the best result is achieved by controlling all threats together. The effect of variation of prey refuge to the control of threats is studied and results indicate that increase of causes more prey individuals to be saved and reduces the number of predator individuals saved. This behaviour agrees with theoretical results obtained in co-existence equilibrium point.
dc.identifier.citationSagamiko, T. D., Shaban, N., Nahonyo, C. L., & Makinde, O. D. (2015). Optimal control of a threatened wildebeest-lion prey-predator system incorporating a constant prey refuge in the Serengeti ecosystem. Applied and Computational Mathematics, 4(4), 296-312.
dc.identifier.doi10.11648/j.acm.20150404.18
dc.identifier.otherURL: https://www.researchgate.net/profile/Thadei-Sagamiko-3/publication/281618336_Optimal_Control_of_a_Threatened_Wildebeest-lion_Prey-predator_System_Incorporating_a_Constant_Prey_Refuge_in_the_Serengeti_Ecosystem/links/5f3f5e33a6fdcccc43debf94/Optimal-Control-of-a-Threatened-Wildebeest-lion-Prey-predator-System-Incorporating-a-Constant-Prey-Refuge-in-the-Serengeti-Ecosystem.pdf
dc.identifier.urihttps://repository.udom.ac.tz/handle/20.500.12661/4849
dc.language.isoen
dc.publisherScience Publishing Group
dc.relation.ispartofApplied and Computational Mathematics
dc.subjectPrey-predator model
dc.subjectWildebeest
dc.subjectLion
dc.subjectSerengeti ecosystem
dc.subjectPoaching
dc.subjectDrought
dc.subjectDiseases
dc.subjectHolling type II functional response
dc.subjectPrey refuge
dc.subjectOptimal control theory
dc.subjectAnti-poaching patrols
dc.subjectDams
dc.subjectVaccination
dc.subjectControl strategies
dc.subjectPopulation dynamics
dc.subjectRefuge factor
dc.subjectCo-existence equilibrium.
dc.titleOptimal control of a threatened wildebeest-lion prey-predator system incorporating a constant prey refuge in the Serengeti ecosystem
dc.typeArticle
oaire.citation.issue4
oaire.citation.volume4
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