Modelling the Effect of Toxicant on a Three Species Food-Chain System with Predator Harvesting

In this paper, the effect of toxicant on a three species food-chain system is considered and studied with predator harvesting. Two models have been studied in this paper to visualize the dynamical behaviour of prey and predator populations under toxicant stress. Dynamics of all the feasible equilibr...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2017-12, Vol.3 (Suppl 1), p.71-97
Main Authors: Misra, O. P., Babu, A. R.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Computer simulation
Harvesting
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Populations
Theoretical
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Summary:In this paper, the effect of toxicant on a three species food-chain system is considered and studied with predator harvesting. Two models have been studied in this paper to visualize the dynamical behaviour of prey and predator populations under toxicant stress. Dynamics of all the feasible equilibria of the systems are discussed using stability theory, and the conditions are derived for the survival or extinction of the populations under the effect of toxicant. Finally, numerical simulation is carried out to support the analytical results.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-017-0342-4