Modeling optimal control of a threatened prey-predator system: a case of Wildebeest-Lion Prey-Predator relationship in the Serengeti ecosystem
| dc.contributor.author | Sagamiko, Thadei Damas | |
| dc.date.accessioned | 2020-04-12T20:18:12Z | |
| dc.date.available | 2020-04-12T20:18:12Z | |
| dc.date.issued | 2016 | |
| dc.description | Available in print form, East Africana Collection, Dr. Wilbert Chagula Library, Class mark (THS EAF QL758.T34S23) | en_US |
| dc.description.abstract | It has been recognized that predator-prey interactions play an important role in the dynamics of species populations and their relationship has continued to be one of the dominant themes in both population ecology and mathematical ecology due to its universal existence and importance. This work presents an optimal control of wildebeest-lion prey-predator relationship in the Serengeti ecosystem. Two threatened prey-predator models with Holling Type II functional response and their control strategies are proposed. The first model considers poaching, retaliatory killings and drought as threats to the system with anti-poaching patrols, construction of strong bomas and dams being suggested as control strategies. The second model considers poaching, drought and disease as threats to the system with prey refuge factor. The disease control strategy is vaccination. Theoretical and optimal control numerical analyses are carried out. The possible impact of using combinations of three controls either one at a time or two at a time on the threatened system is examined. The best result is achieved by taking a combination of all controls. In addition, numerical results agrees with theoretical one in studying the effect of prey refuge which indicates that, its increase causes corresponding increase of the number of prey individuals saved and reducing the number of predator individuals saved due to loss of food. Cost-effectiveness is analyzed using incremental cost-effectiveness ratio where construction of dams and application of anti-poaching patrols are found to be more cost effective than other strategies for first and second model respectively. Finally, validation of model is done using Serengeti lion population density real data. | en_US |
| dc.identifier.citation | Sagamiko, T.i D.(2016) Modeling optimal control of a threatened prey-predator system: a case of Wildebeest-Lion Prey-Predator relationship in the Serengeti ecosystem, Doctoral dissertation, University of Dar es Salaam, Dar es Salaam. | en_US |
| dc.identifier.uri | http://41.86.178.5:8080/xmlui/handle/123456789/9318 | |
| dc.language.iso | en | en_US |
| dc.publisher | University of Dar es Salaam | en_US |
| dc.subject | Predation (Biology) | en_US |
| dc.subject | Predatory animals | en_US |
| dc.subject | Mathematical models | en_US |
| dc.title | Modeling optimal control of a threatened prey-predator system: a case of Wildebeest-Lion Prey-Predator relationship in the Serengeti ecosystem | en_US |
| dc.type | Thesis | en_US |