Sensitivity Analysis of Parameters in a Competition Model
Applied and Computational Mathematics
Volume 4, Issue 5, October 2015, Pages: 363-368
Received: Aug. 27, 2015; Accepted: Sep. 8, 2015; Published: Sep. 22, 2015
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Authors
Frank Nathan Ngoteya, Applied Mathematics Department, the Nelson Mandela African Institute of Science and Technology, Arusha, Tanzania
Yaw Nkansah-Gyekye, Applied Mathematics Department, the Nelson Mandela African Institute of Science and Technology, Arusha, Tanzania
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Abstract
Competition models may be used by ecologists as basic guidelines in analyzing issues that contribute to the decline of species population. To be used for that purpose, a mathematical model must be prudently parameterized. Therefore, this paper examines the effects of interference competition by lions with human–related mortality to the population dynamics of African wild dogs. The model was carefully parameterized and validated with estimated data by employing the theory of basic reproduction number and by running the sensitivity analysis. Numerical simulation of the model was executed by using MATLAB to explore the outcome of certain key parameters when changes are applied on them.
Keywords
Interference Competition, African Wild Dog, Lion, Basic Reproduction Number, Sensitivity Analysis
To cite this article
Frank Nathan Ngoteya, Yaw Nkansah-Gyekye, Sensitivity Analysis of Parameters in a Competition Model, Applied and Computational Mathematics. Vol. 4, No. 5, 2015, pp. 363-368. doi: 10.11648/j.acm.20150405.15
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