Plant-pest-natural enemy dynamics with disease in pest and gestation delay for natural enemy

Vijay Kumar, Joydip Dhar, Harbax S. Bhatti, Harkaran Singh

Abstract


In this present study, a food chain system with the disease in pest species and gestation delay for the natural enemy is proposed. Here the boundedness and positivity of the system are studied. Stability analysis for all feasible equilibrium points is carried out. The Hopf bifurcation at interior equilibrium point is presented and analyzed. The sensitivity analysis is performed to find the respective sensitive indices of the variables of the proposed system. Further, simulations have been carried out to support our analytic results.

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How to Cite this Article:

Vijay Kumar, Joydip Dhar, Harbax S. Bhatti, Harkaran Singh, Plant-pest-natural enemy dynamics with disease in pest and gestation delay for natural enemy, Journal of Mathematical and Computational Science, Vol 7, No 5 (2017), 948-965

Copyright © 2017 Vijay Kumar, Joydip Dhar, Harbax S. Bhatti, Harkaran Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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