Optimal Control of a Threatened Wildebeest-Lion Prey-Predator System in the Serengeti Ecosystem
Loading...
Date
2015-04-01
Journal Title
Journal ISSN
Volume Title
Publisher
Scientific Research Publishing
Abstract
We develop a two-species prey-predator model in which prey is wildebeest and predator is lion.
The threats to wildebeest are poaching and drought while to lion are retaliatory killing and
drought. The system is found in the Serengeti ecosystem. Optimal control theory is applied to investigate
optimal strategies for controlling the threats in the system where anti-poaching patrols
are used for poaching, construction of strong bomas for retaliatory killing and construction of
dams for drought control. The possible impact of using a combination of the three controls either
one at a time or two at a time on the threats facing the system is also examined. We observe that
the best result is achieved by using all controls at the same time, where a combined approach in
tackling threats to yield optimal results is a good approach in the management of wildlife populations.
Description
Keywords
Optimal Control, Prey-Predator System, Threat, Poaching, Threat, Poaching, Serengeti
Citation
Sagamiko, T.D., Shaban, N., Nahonyo, C.L. and Makinde, O.D., 2015. Optimal Control of a Threatened Wildebeest-Lion Prey-Predator System in the Serengeti Ecosystem. Open Journal of Ecology, 5(04), p.110.