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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2023 (2023)

Commun. Math. Biol. Neurosci. 2023 (2023), Article ID 72

Mathematical analysis of prey predator models with Holling type I functional responses and time delay

N.B. Sharmila, C. Gunasundari

PDF (399.1 KB) https://doi.org/10.28919/cmbn/8014

Abstract

We examine two prey and one predator models with Holling type I functional behaviours in this paper. To demonstrate the system’s permanence and boundedness, we used a discrete-time delay. Through the use of traditional mathematical techniques, the effects of random variations in the environment and time delay on the model’s stability are analytically examined. The stability and Hopf-Bifurcation for the competition model are also described and shown. A few numerical computations are provided to demonstrate the efficacy of the theoretical findings.

Published
10 July 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 N.B. Sharmila, C. Gunasundari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

N. B. Sharmila, C. Gunasundari, Mathematical analysis of prey predator models with Holling type I functional responses and time delay, Commun. Math. Biol. Neurosci. 2023 (2023), 72. https://doi.org/10.28919/cmbn/8014

BibTeX
@article{Sharmila2023,
  author  = {Sharmila, N.B. and Gunasundari, C.},
  title   = {Mathematical analysis of prey predator models with Holling type I functional responses and time delay},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {72},
  doi     = {10.28919/cmbn/8014}
}