A New Prey-Predator Modeling with Experimental Data for Biological Control of Couch Grass

Mehmet Yavuz; Merve Başaçık; Ayşe Nur Yaman

doi:10.33401/fujma.1806523

A New Prey-Predator Modeling with Experimental Data for Biological Control of Couch Grass

Abstract

In this study, a new three-dimensional predator–prey model is developed, consisting of one prey and two predators. The aim of the model is to reduce or eliminate the target weed species through natural means. One of the novelties of the study is that one of the predators is the radish plant, and the model parameters are obtained from real data. The primary objective of the study is to investigate the natural suppression or eradication of the harmful weed species using the constructed predator–prey framework, supported by numerical simulations. Through these simulations, the interactions between two populations are examined by varying the initial planting rates/numbers of radish and couch grass, and the dynamic changes of the populations over time are analyzed. Furthermore, the model and its solutions are interpreted within the context of mathematical biology. The equilibrium points are determined, followed by numerical solutions of the three-dimensional system, and corresponding simulations are performed. The numerical simulations are carried out using the fourth-order Runge–Kutta method.

Keywords

References

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Details

Primary Language

English

Subjects

Biological Mathematics, Dynamical Systems in Applications

Journal Section

Research Article

Authors

Mehmet Yavuz ^*
0000-0002-3966-6518
Türkiye

Merve Başaçık
0009-0000-3473-9127
Türkiye

Ayşe Nur Yaman
0009-0009-2849-8983
Türkiye

Publication Date

December 30, 2025

Submission Date

October 19, 2025

Acceptance Date

December 29, 2025

Published in Issue

Year 2025 Volume: 8 Number: 4

DOI

https://doi.org/10.33401/fujma.1806523

IZ

https://izlik.org/JA89RG43LS

Cite

RIS / Bibtex

APA

Yavuz, M., Başaçık, M., & Yaman, A. N. (2025). A New Prey-Predator Modeling with Experimental Data for Biological Control of Couch Grass. Fundamental Journal of Mathematics and Applications, 8(4), 225-234. https://doi.org/10.33401/fujma.1806523

AMA

1.Yavuz M, Başaçık M, Yaman AN. A New Prey-Predator Modeling with Experimental Data for Biological Control of Couch Grass. Fundam. J. Math. Appl. 2025;8(4):225-234. doi:10.33401/fujma.1806523

Chicago

Yavuz, Mehmet, Merve Başaçık, and Ayşe Nur Yaman. 2025. “A New Prey-Predator Modeling With Experimental Data for Biological Control of Couch Grass”. Fundamental Journal of Mathematics and Applications 8 (4): 225-34. https://doi.org/10.33401/fujma.1806523.

EndNote

Yavuz M, Başaçık M, Yaman AN (December 1, 2025) A New Prey-Predator Modeling with Experimental Data for Biological Control of Couch Grass. Fundamental Journal of Mathematics and Applications 8 4 225–234.

IEEE

[1]M. Yavuz, M. Başaçık, and A. N. Yaman, “A New Prey-Predator Modeling with Experimental Data for Biological Control of Couch Grass”, Fundam. J. Math. Appl., vol. 8, no. 4, pp. 225–234, Dec. 2025, doi: 10.33401/fujma.1806523.

ISNAD

Yavuz, Mehmet - Başaçık, Merve - Yaman, Ayşe Nur. “A New Prey-Predator Modeling With Experimental Data for Biological Control of Couch Grass”. Fundamental Journal of Mathematics and Applications 8/4 (December 1, 2025): 225-234. https://doi.org/10.33401/fujma.1806523.

JAMA

1.Yavuz M, Başaçık M, Yaman AN. A New Prey-Predator Modeling with Experimental Data for Biological Control of Couch Grass. Fundam. J. Math. Appl. 2025;8:225–234.

MLA

Yavuz, Mehmet, et al. “A New Prey-Predator Modeling With Experimental Data for Biological Control of Couch Grass”. Fundamental Journal of Mathematics and Applications, vol. 8, no. 4, Dec. 2025, pp. 225-34, doi:10.33401/fujma.1806523.

Vancouver

1.Mehmet Yavuz, Merve Başaçık, Ayşe Nur Yaman. A New Prey-Predator Modeling with Experimental Data for Biological Control of Couch Grass. Fundam. J. Math. Appl. 2025 Dec. 1;8(4):225-34. doi:10.33401/fujma.1806523

Cited By

Predator-prey dynamics of four fish species in the Black Sea with analytical and numerical analysis

Bulletin of Biomathematics

https://doi.org/10.59292/bulletinbiomath.1895672