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Volume 3, Issue 4, August 2014, Page: 125-129
Modelling the Migratory Population Dynamics of the Serengeti Ecosystem
Janeth James Ngana, Nelson Mandela African Institution of Science and Technology (NM-AIST), Arusha, Tanzania
Livingstone Serwadda Luboobi, Department of Mathematics, Makerere University, Kampala, Uganda
Dmitry Kuznetsov, Nelson Mandela African Institution of Science and Technology (NM-AIST), Arusha, Tanzania
Received: Jul. 7, 2014;       Accepted: Jul. 15, 2014;       Published: Jul. 30, 2014
DOI: 10.11648/j.acm.20140304.13      View  2940      Downloads  129
Abstract
Many ecological studies have tried to explain the animal migrations, but none has embarked on modeling the Great Migration and its impact on the migratory animals’ population dynamics, in combination with food and the impact of predation. In this paper, we present a mathematical model of the four dynamic Ordinary Differential Equations of Grass, Herbivores, Lions and Crocodiles. Using secondary data covering ten years 1996-2006 we estimated the parameters in the model. The grass forage grew periodically, the herbivores population grew, the predation rate of lions grew and so did its population. But the crocodiles’ population grew less. The study has shown that there was no extinction and migration continued. Herbivores population grew provided that there was enough food.
Keywords
Great Migration, Grass, Herbivores, Lions, Crocodiles, Predation, Prey, Serengeti, Masai Mara
To cite this article
Janeth James Ngana, Livingstone Serwadda Luboobi, Dmitry Kuznetsov, Modelling the Migratory Population Dynamics of the Serengeti Ecosystem, Applied and Computational Mathematics. Vol. 3, No. 4, 2014, pp. 125-129. doi: 10.11648/j.acm.20140304.13
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