A Stage-Structured Pest-Natural Enemy Dynamics with Holling Type-II Interaction and Maturation Delay for Pest Species: Fid-Bau Portal

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A Stage-Structured Pest-Natural Enemy Dynamics with Holling Type-II Interaction and Maturation Delay for Pest Species

Kumar, Vijay / Dhar, Joydip / Bhatti, Harbax S.

Abstract In this paper, a pest-natural enemy dynamics with maturation delay for pest species is proposed. Here, pest is categorized into two stages, namely immature and mature and the natural enemy only harvest mature pest population with Holling type-II interaction. The boundedness and positivity of the solution of the system are presented. The asymptotic behavior of the system is studied and analyzed for all feasible equilibrium points. Sensitivity analysis of the system at interior equilibrium point for the system parameters is performed, and respective sensitive indices of the variables are identified. Finally, numerical simulations are presented to support our analytic results.

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A Stage-Structured Pest-Natural Enemy Dynamics with Holling Type-II Interaction and Maturation Delay for Pest Species

Kumar, Vijay / Dhar, Joydip / Bhatti, Harbax S.

Abstract In this paper, a pest-natural enemy dynamics with maturation delay for pest species is proposed. Here, pest is categorized into two stages, namely immature and mature and the natural enemy only harvest mature pest population with Holling type-II interaction. The boundedness and positivity of the solution of the system are presented. The asymptotic behavior of the system is studied and analyzed for all feasible equilibrium points. Sensitivity analysis of the system at interior equilibrium point for the system parameters is performed, and respective sensitive indices of the variables are identified. Finally, numerical simulations are presented to support our analytic results.

A Stage-Structured Pest-Natural Enemy Dynamics with Holling Type-II Interaction and Maturation Delay for Pest Species

Kumar, Vijay / Dhar, Joydip / Bhatti, Harbax S.

Abstract In this paper, a pest-natural enemy dynamics with maturation delay for pest species is proposed. Here, pest is categorized into two stages, namely immature and mature and the natural enemy only harvest mature pest population with Holling type-II interaction. The boundedness and positivity of the solution of the system are presented. The asymptotic behavior of the system is studied and analyzed for all feasible equilibrium points. Sensitivity analysis of the system at interior equilibrium point for the system parameters is performed, and respective sensitive indices of the variables are identified. Finally, numerical simulations are presented to support our analytic results.

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Title:

A Stage-Structured Pest-Natural Enemy Dynamics with Holling Type-II Interaction and Maturation Delay for Pest Species

Contributors:

Kumar, Vijay (author) / Dhar, Joydip (author) / Bhatti, Harbax S. (author)

Published in:

Environmental Modeling & Assessment ; 24 ; 355-363

Publication date:

2019-02-05

Size:

9 pages

ISSN:

1573-2967 , 1420-2026

DOI:

https://doi.org/10.1007/s10666-019-9652-8

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Stage-structured model , Maturation delay , Holling type-II , Boundedness , Positivity , Sensitivity analysis Environment , Math. Appl. in Environmental Science , Mathematical Modeling and Industrial Mathematics , Operations Research/Decision Theory , Applications of Mathematics

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