School of Mathematics and Allied Sciences, Jiwaji University, Gwalior-474 011, India
Abstract
The modeling investigation in this paper discusses the system level effects of a toxicant on a three species food chain system. In the models, we have assumed that the presence of top predator reduces the predatory ability of the intermediate predator. The stability analysis of the models is carried out and the sufficient conditions for the existence and extinction of the populations under the stress of toxicant are obtained. Further, it is also found that the predation rate of the intermediate predator is a bifurcating parameter and Hopf-bifurcation occurs at some critical value of this parameter. Finally, numerical simulation is carried out to support the analytical results.
Misra, O. P., & Annavarapu, R. B. (2016). A model for the dynamical study of food-chain system considering interference of top predator in a polluted environment. Journal of Mathematical Modeling, 3(2), 189-218.
MLA
Om Prakash Misra; Raveendra Babu Annavarapu. "A model for the dynamical study of food-chain system considering interference of top predator in a polluted environment". Journal of Mathematical Modeling, 3, 2, 2016, 189-218.
HARVARD
Misra, O. P., Annavarapu, R. B. (2016). 'A model for the dynamical study of food-chain system considering interference of top predator in a polluted environment', Journal of Mathematical Modeling, 3(2), pp. 189-218.
VANCOUVER
Misra, O. P., Annavarapu, R. B. A model for the dynamical study of food-chain system considering interference of top predator in a polluted environment. Journal of Mathematical Modeling, 2016; 3(2): 189-218.
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