STABILITY AND HOPF BIFURCATION ANALYSIS OF A PLANT-PEST-NATURAL ENEMY SYSTEM WITH DUAL GESTATION DELAY AS A BIOLOGICAL CONTROL STRATEGY
Print ISSN: 0972-7752 | Online ISSN: | Total Downloads :
DOI:
Author :
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)
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 model; Gestation delay; Boundedness; Hopf Bifurcation; Sensitivity analysis.
A.M.S. subject classification
34C23, 34D20, 92B05, 92D30.
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