Title
Bifurcation In Plant-Pest-Natural Enemy Interaction Dynamics With Gestation Delay For Both Pest And Natural Enemy
Abstract
During this analysis, as per natural control approach in pest management, a plant-pest dynamics with biological control is proposed, here assuming that the pest and natural enemy are having different levels of gestation delay and harvesting rate of pests by natural enemy follows Holling type-III response function. Boundedness and positivity of the system are studied. Equilibria and stability analysis is carried out for possible equilibrium points. The existence of Hopf bifurcation at interior equilibrium is presented. The sensitivity analysis of the system at interior equilibrium point for model parameters has been explored. Numerical simulations are performed to support our analytic findings.
Year
DOI
Venue
2019
10.1142/S0218127419501785
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Plant-pest-natural enemy, Holling type-III response function, boundedness, positivity, Hopf bifurcation, sensitivity study
Journal
29
Issue
ISSN
Citations 
13
0218-1274
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Vijay Kumar100.34
Joydip Dhar23712.11
Harbax Singh Bhatti331.18