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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2022 (2022)

Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 40

Turing instability of a diffusive predator-prey model along with an Allee effect on a predator

G. Santhosh Kumar, C. Gunasundari

PDF (846.7 KB) https://doi.org/10.28919/cmbn/7361

Abstract

Modeling biological systems is a significant task in nature. This work concentrates on the relation between two prey species and one predator species model. Our interaction is based on a competition between two preys and one predator, with an additive Allee effect in the predator population. Many investigations have been done in stability properties of the population dynamics. However in this study, we demonstrated population instability as a result of the incorporating diffusive terms in the PDE system and we construct the amplitude equations of stationary patterns using the nonlinear multiple scale analysis approach and Taylor series expansion. Numerical results are also presented to validate our propositions.

Published
29 April 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 G. Santhosh Kumar, 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

G. S. Kumar, C. Gunasundari, Turing instability of a diffusive predator-prey model along with an Allee effect on a predator, Commun. Math. Biol. Neurosci. 2022 (2022), 40. https://doi.org/10.28919/cmbn/7361

BibTeX
@article{Kumar2022,
  author  = {Kumar, G. Santhosh and Gunasundari, C.},
  title   = {Turing instability of a diffusive predator-prey model along with an Allee effect on a predator},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {40},
  doi     = {10.28919/cmbn/7361}
}