Work

Mathematical Model for the Serengeti Ecosystem under Weather Variations

Year: 2019

Type: article

Abstract: Very few ecological studies have modeled Population Dynamics of the Serengeti Ecosystem under variable weather conditions. This paper seeks to analyze and forecast the trends of the Population Dynamics of the migratory ungulates of the Serengeti Ecosystem, under consistent monthly rainfalls and under varying rainfalls, when there is Climate Change. To get the Population Dynamics, we formulated a model of five Ordinary Differential Equations for: Vegetation biomass, Herbivores, Lions, Cheetahs and Crocodiles. For analysis of the model data, we used the Least Mean Square method. We found that in general, as the Vegetation volume grows logistically yearly, the Herbivores population decreases and as a result the populations of the Lions, the Cheetahs and the Crocodiles also decrease.

Source: American Journal of Computational and Applied Mathematics

Authors: Janeth James Ngana, Livingstone S. Luboobi, Okelo J. Abonyo

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

SDG: Life on land

Open Access status: diamond

OpenAlex ID: W2953965418

FWCI:

Cites: 11

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Related to: 10