Research ArticleNo Access

A prey–predator model and control of a nematodes pest using control in banana: Mathematical modeling and qualitative analysis

Sudhakar Yadav

Department of Applied Mathematics, Delhi Technological University, New Delhi-110042, India

E-mail Address: sudhakarbhu10@gmail.com

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and

Vivek Kumar

https://orcid.org/0000-0002-0321-9951

Department of Applied Mathematics, Delhi Technological University, New Delhi-110042, India

E-mail Address: vivekkumar.ag@gmail.com

Corresponding author.

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https://doi.org/10.1142/S1793524521500893Cited by:3 (Source: Crossref)

Abstract

This study develops a mathematical model for describing the dynamics of the banana-nematodes and its pest detection method to help banana farmers. Two criteria: the mathematical model and the type of nematodes pest control system are discussed. The sensitivity analysis, local stability, global stability, and the dynamic behavior of the mathematical model are performed. Further, we also develop and discuss the optimal control mathematical model. This mathematical model represents various modes of management, including the initial release of infected predators as well as the destroying of nematodes. The theoretical results are shown and verified by numerical simulations.

Keywords:

AMSC: 92B05, 37M05, 34D20, 93C10, 93A30

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