MATLAB Programming for Simulation of Discrete Dynamic Model

Authors

  • Adel A. Abed AL Wahab Computer science department, College of education for pure science, University of Diyala, Diyala-Iraq Author
  • Nihad Mahmoud Nasir Computer science department, College of education for pure science, University of Diyala, Diyala-Iraq Author
  • Alaa Hussien Lafta Computer science department, College of education for pure science, University of Diyala, Diyala-Iraq Author

DOI:

https://doi.org/10.61841/25j7cr89

Keywords:

MATLAB Programming, Discrete Dynamic Model, prey-predator model

Abstract

Here, we considered a discrete-time dynamic model of prey-predator populations’ involved ratio dependent functional response with the goal of disclosing a simulation method using MATLAB. Mathematical model was implemented in MATLAB function that allows simulating the effect of ratio-dependent functional response. The graphical interface shown in this paper is performed using the MATLAB Program.

Downloads

Download data is not yet available.

References

1. Kuang, Y. (2002). Basic properties of the mathematical population. Biomath, 17, 129–142.

2. Agiza, H., Elabbasy, E., Metwally, H., & Elsadany, A. (2009). Chaotic dynamics of discrete prey–predator model with Holling type II. Nonlinear Analysis: Real World Applications, 10, 116–129.

3. Danca, M., Codreanu, S., & Bako, B. (1997). Detailed analysis of a nonlinear prey–predator model. Journal of Biological Physics, 23, 11–20.

4. Jing, Z., & Yang, J. (2006). Bifurcation analysis of a nonlinear prey–predator model. Chaos, Solitons & Fractals, 27, 259–277.

5. Liu, X., & Xiao, D. (2007). Complex dynamic behavior of a discrete-time prey–predator model. Chaos, Solitons & Fractals, 32, 80–94.

6. Sumers, D., Justian, C., & Brian, H. (2000). Chaos in a periodically forced discrete-time eco-model. Chaos, Solitons & Fractals, 11, 2331–2341.

7. Arditi, R., & Ginzburg, L. (1989). Coupling in predator–prey dynamics: Ratio-dependent model. Journal of Theoretical Biology, 139, 311–326.

8. Elaydi, S. (2008). Discrete Chaos (2nd ed.). Springer-Verlag.

9. Murray, J. (2005). Mathematical Biology (3rd ed.). Springer-Verlag.

10. Naji, R. K., & Lafta, A. H. (2013). On the dynamics of discrete-time prey–predator system with ratio-dependent functional response. Iraqi Journal of Science, 54(1), 157–164.

Downloads

Published

28.05.2020

Issue

Vol. 24 No. 1 (2020): 24 (1) 2020

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

You are free to:

  1. Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
  2. Adapt — remix, transform, and build upon the material for any purpose, even commercially.
  3. The licensor cannot revoke these freedoms as long as you follow the license terms.

Under the following terms:

  1. Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  2. No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.

Notices:

You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .

No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.

How to Cite

AL Wahab, A. A. A., Nasir, N. M., & Lafta , A. H. (2020). MATLAB Programming for Simulation of Discrete Dynamic Model . International Journal of Psychosocial Rehabilitation, 24(1), 798-803. https://doi.org/10.61841/25j7cr89