A Numerical Study for Solving Mathematical Fuzzy Population Model

Population models are used to determine maximum harvest for agriculturists and to understand the dynamics of biological invasions and for environmental conservation. Also, population models are used to understand the spread of parasites, viruses and disease. However, the mathematical model of popula...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-09, Vol.1999 (1), p.12109
Main Authors: Mechee, Mohammed S., Mahdi, Ahlam A.
Format: Article
Language:English
Subjects:
Differential equations
Exact solutions
Fuzzy
Fuzzy Differential Equations
Integrators
Mathematical Fuzzy
Mathematical Model
Numerical Method
Numerical methods
ODE
Ordinary differential equations
Physics
Population
Population Model
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Summary:Population models are used to determine maximum harvest for agriculturists and to understand the dynamics of biological invasions and for environmental conservation. Also, population models are used to understand the spread of parasites, viruses and disease. However, the mathematical model of population can be used to make future prediction of the growth of population. In this paper, numerical study for solving mathematical fuzzy population model has been introduced. The development of direct explicit numerical integrators of RK-type to be consistent with solving fuzzy ordinary differential equations. The computational efficiency of the numerical method has been developed. The advantage and the efficiency of the proposed method have been shown clearly using the numerical results which are agree well with analytical solutions due to the proposed method is more efficient and accurate method.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1999/1/012109