Dynamics of fractional model of biological pest control in tea plants with beddingtondeangelis functional response
- Title
- Dynamics of fractional model of biological pest control in tea plants with beddingtondeangelis functional response
- Creator
- Achar S.J.; Baishya C.; Veeresha P.; Akinyemi L.
- Description
- In this study, we depicted the spread of pests in tea plants and their control by biological enemies in the frame of a fractional-order model, and its dynamics are surveyed in terms of boundedness, uniqueness, and the existence of the solutions. To reduce the harm to the tea plant, a harvesting term is introduced into the equation that estimates the growth of tea leaves. We analyzed various points of equilibrium of the projected model and derived the conditions for the stability of these equilibrium points. The complex nature is examined by changing the values of various parameters and fractional derivatives. Numerical computations are conducted to strengthen the theoretical findings. 2021 by the authors. Licensee MDPI, Basel, Switzerland.
- Source
- Fractal and Fractional, Vol-6, No. 1
- Date
- 2022-01-01
- Publisher
- MDPI
- Subject
- BeddingtonDeAngelis functional response; Caputo fractional derivative; Predictor-corrector method; Three-species model
- Coverage
- Achar S.J., Department of Studies and Research in Mathematics, Tumkur University, Tumkur, 572103, India; Baishya C., Department of Studies and Research in Mathematics, Tumkur University, Tumkur, 572103, India; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to Be University), Bengaluru, 560029, India; Akinyemi L., Department of Mathematics, Lafayette College, Easton, 18042, PA, United States
- Rights
- All Open Access; Gold Open Access
- Relation
- ISSN: 25043110
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Achar S.J.; Baishya C.; Veeresha P.; Akinyemi L., “Dynamics of fractional model of biological pest control in tea plants with beddingtondeangelis functional response,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/15482.