Graphical analysis of Rosenzweig-MacArthur model via adams-moultan and fourth order Runge-Kutta methods

This paper analysed the Rosenweig-MacArthur model. The model simulates interaction between a type of prey and its predator. The aim was to analyses the performance of two famous and accurate method; i.e. Adam-Moultan and fourth order Runge-Kutta methods on the behavior of the Rosenweigh-MacArthur mo...

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Bibliographic Details
Main Authors: Hasan, Mohammad Khatim, Karim, Samsul Arifin Abdul, Sulaiman, Jumat
Format: Conference Proceeding
Language:English
Subjects:
Adam-Moultan
Analytical models
Approximation methods
Birth
Complexity theory
Computation
Computational modeling
Computer simulation
Conferences
Electrical engineering
Finite element method
fourth order Runge-Kutta
Predator prey systems
Predators
Rosenzweig-McArthur
Runge-Kutta method
Turning
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Summary:This paper analysed the Rosenweig-MacArthur model. The model simulates interaction between a type of prey and its predator. The aim was to analyses the performance of two famous and accurate method; i.e. Adam-Moultan and fourth order Runge-Kutta methods on the behavior of the Rosenweigh-MacArthur model. We also investigate the impact on eight mesh sizes on both methods. We also examine the effect of various sets of birth and death rate of prey and predators on the logical behaviour of simulated result. Results show that both methods simulate the problem with almost the same accuracy. Both methods have logically simulated the behaviour of prey and predator except for big mesh sizes but in term of computation time the Adam-Moultan method solve all problems faster than the fourth order Runge-Kutta method.
ISSN:2155-6830
DOI:10.1109/ICEEI.2015.7352583