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Bifurcation in Plant-Pest-Natural Enemy Interaction Dynamics with Gestation Delay for Both Pest and Natural Enemy

IKG-Punjab Technical University, Kapurthala-144601, Punjab, India

Department of Applied Sciences, Humanities and Management, Beant College of Engineering and Technology, Gurdaspur-143521, Punjab, India

E-mail Address: bhagat21@rediffmail.com

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Joydip Dhar

Department of Applied Sciences, ABV-Indian Institute of Information Technology and Management, Gwalior-474015, M.P., India

E-mail Address: jdhar.iiitmg@gmail.com

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Harbax Singh Bhatti

Department of Applied Sciences, B.B.S.B. Engineering College, Fatehgarh Sahib-140406, Punjab, India

E-mail Address: bhattihs100@yahoo.com

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https://doi.org/10.1142/S0218127419501785Cited by:3 (Source: Crossref)

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.

Keywords:

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