STABILITY AND HOPF BIFURCATION ANALYSIS OF A PLANT-PEST-NATURAL ENEMY SYSTEM WITH DUAL GESTATION DELAY AS A BIOLOGICAL CONTROL STRATEGY

Vijay Kumar; Joydip Dhar; Harbax S. Bhatti

Vijay Kumar Research Scholar, Inder Kumar Gujral-Punjab Technical University, Kapurthala-144601, Punjab, INDIA

Joydip Dhar ABV-Indian Institute of Information Technology and Management, Gwalior-474015, M.P., INDIA

Harbax S. Bhatti BBSB Engineering College, Fatehgarh Sahib, Punjab, INDIA

Volume 14, Issue 1 Pages 135-150 April 30, 2018 0 downloads

Article overview

Abstract

In this study, a food chain system with gestation delay for both pest and the natural enemy is proposed. Here the boundedness of the system is studied. Stability analysis for all possible equilibrium states is carried out. The thresholds for Hopf bifurcation at interior and the natural enemy free equilibrium states are studied and analyzed. The sensitivity analysis is performed to nd the respective sensitive indices of the variables of the proposed system. Further, simulations have been carried out to support our analytic results.

Keywords and Phrases

A food chain modelGestation delayBoundednessHopf BifurcationSensitivity analysis.

AMS Subject Classification

34C23, 34D20, 92B05, 92D30.

Reference information

How to Cite

Vijay Kumar, Joydip Dhar, Harbax S. Bhatti (2018). STABILITY AND HOPF BIFURCATION ANALYSIS OF A PLANT-PEST-NATURAL ENEMY SYSTEM WITH DUAL GESTATION DELAY AS A BIOLOGICAL CONTROL STRATEGY. South East Asian Journal of Mathematics and Mathematical Sciences, 14(1), 135-150.

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