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Investing Data with Machine Learning Using Python Read chapter Read first chapter

2020 | OriginalPaper | Chapter

27. Dynamic Analysis of Prey–Predator Model with Harvesting Prey Under the Effect of Pollution and Disease in Prey Species

Authors : Naina Arya, Sumit Kaur Bhatia, Sudipa Chauhan, Puneet Sharma

Published in: Strategic System Assurance and Business Analytics

Publisher: Springer Singapore

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Abstract

In this paper, a prey–predator model has been developed in order to study the concurrent effect of contamination and impact of disease in interacting species. Hence, the model influenced by contaminants, with infection in prey species, is proposed, where predator catches infective as well as susceptible prey. Boundedness and presence of all equilibria have been established. Also, the conditions for both local and global stability of the model have been developed. We also developed the optimal control issue by picking the control variable and gave the optimal harvesting approach of system by applying Pontryagin’s maximum principle. Finally, numerical simulations along with graphical illustration have been performed to support our analytic outcomes.

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previous chapter Intuitionistic Fuzzy Hybrid Multi-criteria Decision-Making Approach with TOPSIS Method Using Entropy Measure for Weighting Criteria
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Metadata
Title
Dynamic Analysis of Prey–Predator Model with Harvesting Prey Under the Effect of Pollution and Disease in Prey Species
Authors
Naina Arya
Sumit Kaur Bhatia
Sudipa Chauhan
Puneet Sharma
Copyright Year
2020
Publisher
Springer Singapore
Book
Strategic System Assurance and Business Analytics

Print ISBN: 978-981-15-3646-5

Electronic ISBN: 978-981-15-3647-2

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-981-15-3647-2_27

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