International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Controlling Pest by Integrated Pest Management: A Dynamical Approach

Vandana Kumari
Department of Mathematics, Amity Institute of Applied Science, Amity University, Sector-125, Noida, U.P., India.

Sudipa Chauhan
Department of Mathematics, Amity Institute of Applied Science, Amity University, Sector-125, Noida, U.P., India.

Joydip Dhar
Mathematical Modelling and Simulation Laboratory, Atal Bihari Vajpayee Indian Institute of Information Technology and Management, Gwalior, M.P., India.

DOI https://doi.org/10.33889/IJMEMS.2020.5.4.061

Received on August 28, 2019
  ;
Accepted on January 28, 2020

Abstract

Integrated Pest Management technique is used to formulate a mathematical model by using biological and chemical control impulsively. The uniform boundedness and the existence of pest extinction and nontrivial equilibrium points is discussed. Further, local stability of pest extinction equilibrium point is studied and it has been derived that if T≤T_max, the pest extinction equilibrium point is locally stable and for T>T_max, the system is permanent. It has also been obtained that how delay helps in eradicating pest population more quickly. Finally, analytic results have been validated numerically.

Keywords- Plant-pest-natural enemy, Boundedness, Local stability, Permanence.

Citation

Kumari, V., Chauhan, S., & Dhar, J. (2020). Controlling Pest by Integrated Pest Management: A Dynamical Approach. International Journal of Mathematical, Engineering and Management Sciences, 5(4), 769-786. https://doi.org/10.33889/IJMEMS.2020.5.4.061.

Conflict of Interest

The authors declare that there are no conflicts of interest regarding the publication of this paper.

Acknowledgements

The first author would like to express her sincere thanks to her guide, co-guide for their constant guidance and support and special thanks to all the reviewers and editor.

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