Plant-pest-natural enemy dynamics with disease in pest and gestation delay for natural enemy
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.
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.
Cite this article
V. Kumar, J. Dhar, H. S. Bhatti, H. Singh, Plant-pest-natural enemy dynamics with disease in pest and gestation delay for natural enemy, J. Math. Comput. Sci. 7 (2017), 948–965.
BibTeX
@article{Kumar2017,
author = {Kumar, Vijay and Dhar, Joydip and Bhatti, Harbax S. and Singh, Harkaran},
title = {Plant-pest-natural enemy dynamics with disease in pest and gestation delay for natural enemy},
journal = {J. Math. Comput. Sci.},
volume = {7},
year = {2017},
pages = {948--965},
doi = {}
}