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Updated: Mar 30, 2026

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems
Published on: July 30, 2019
A non-linear mathematical model for a three species ecosystem: Hippos in Lake Edward
Mauro Bologna1, Kristopher J Chandía2, J C Flores1
1Instituto de Alta Investigación IAI, Universidad de Tarapacá, Casilla 7-D, Arica, Chile.
Abstract:
In this work we study a non-linear mathematical model based on three different interacting species. We apply our model to Lake Edward ecosystem consisting in hippos, tilapia fishes and human inhabitants. In this case, we estimate the values of the key parameters using actual data and show the reliability of the proposed model as a predictive tool. We also show, via numerical calculations and parameter values that the ecosystem associated to the lake is very far from reaching a stable equilibrium. Through our analysis we provide the conditions for a possible coexistence among the three species.
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