International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 11, Issue 2 (February 2024), Pages: 82-93

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 Original Research Paper

Stability and control of a plant epidemic model with pesticide intervention

 Author(s): 

 Balajied Me Syrti *, Anuradha Devi

 Affiliation(s):

 Department of Mathematics, The Assam Royal Global University, Guwahati-781035, India

 Full text

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0009-0006-1141-1413

 Digital Object Identifier (DOI)

 https://doi.org/10.21833/ijaas.2024.02.011

 Abstract

This paper introduces a model for studying plant epidemics that applies pesticides to control disease spread among two types of plant populations: those that are susceptible and those that are already infected. The model uses non-linear ordinary differential equations and the Holling type II response function to depict how disease spreads based on the number of susceptible plants available. The model is carefully checked for biological accuracy, ensuring characteristics such as positivity and boundedness. It defines points of equilibrium where the numbers of susceptible and infected plants stabilize. The study looks at scenarios with no infected plants (disease-free equilibrium) and scenarios where the disease continues to exist within the plant population (endemic equilibrium). The basic reproduction number, R0, is calculated to assess the system's stability. If R0 is less than 1, the disease is unlikely to spread widely, and the system is likely to return to being disease-free, both locally and globally, over time. However, if R0 is greater than 1, it indicates that the disease will persist in the population. This endemic state has also been shown to be stable both locally and globally. A sensitivity analysis helps identify key factors that affect disease spread and assists in forming strategies to manage the disease. Finally, numerical simulations are used to support the findings of the analysis.

 © 2024 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords

 Plant epidemic model, Stability, Routh-Hurwitz criterion, Lyapunov function, Sensitivity analysis

 Article history

 Received 31 August 2023, Received in revised form 1 January 2024, Accepted 26 January 2024

 Acknowledgment 

No Acknowledgment.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Syrti BM and Devi A (2024). Stability and control of a plant epidemic model with pesticide intervention. International Journal of Advanced and Applied Sciences, 11(2): 82-93

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 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig. 5 Fig. 6 Fig. 7 Fig. 8 

 Tables

 Table 1 Table 2 

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