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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Parameters Estimation of a Constrained Predator Prey Dynamical Model with Incomplete Data

Discontinuity, Nonlinearity, and Complexity 10(4) (2021) 681--691 | DOI:10.5890/DNC.2021.12.008

C. Muzvondiwa, A.A. Adeniji , I. Fedotov, M.Y. Shatalov, A.C. Mkolesia

Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria, P/Bag X380, South Africa

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Substantial frameworks for a predator prey dynamical model have been developed in the past. A Method for estimating parameters of a constrained dynamical model with incomplete data assuming information about predator (known) and prey (unknown) was investigated. Unknown parameters for the dynamical model was estimated using undetermined Lagrangian multiplier method. The method for estimating the parameters are based on the construction of a quadratic goal function minimization from a set of ordinary differential equations. A non-homogeneous system was generated using ordinary least square method applied to the goal function in order to estimate the parameters. The derivation of the parameters process was one of the inverse problem and the model with estimated parameters gave some satisfactory fit.


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