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Chaos Control in a Two Prey and One Predator System with Predator Switching

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Advanced Computational and Communication Paradigms

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 706))

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Abstract

Vance (Am. Nat. 112:797–813, 1978) modeled a food web consisting of two prey and one predator with competing prey species. Gilpin (Am. Nat. 113:306–308, 1979) explored that for biological feasible parameter values, Vance’s model can produce chaotic dynamics. In the present paper, we consider a modification of Vance’s model by incorporating predator switching into the model for the same set of parameter values considered by Gilpin. We observe that if we increase switching intensity above a threshold value, then the system becomes stable from chaotic oscillations and enhances the persistence of the system.

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References

  1. Gilpin, M.E.: Spiral chaos in a predator-prey model. Am. Nat. 113, 306–308 (1979)

    Article  MathSciNet  Google Scholar 

  2. Vance, R.R.: Predation and Resource Partitioning in One Predator-Two Prey Model Communities. Am. Nat. 112, 797–813 (1978)

    Article  Google Scholar 

  3. Schaffer, W.M.: Order and chaos in ecological systems. Ecology 66, 93–106 (1985)

    Article  Google Scholar 

  4. Murdoch, W.: Switching in general predators: experiments on predator specificity and stability of prey populations. Ecol. Monogr. 39, 335–354 (1969)

    Article  Google Scholar 

  5. Piette. F.: Sur equilibre de faunas: Interactions des moules des poupres et des cripedaed, C. R. Soc. Biologeogr 92, 47–48 (1934)

    Google Scholar 

  6. Lawton, J., Beddington, J., Bonser, R.: Switching in invertebrate predators. In: Usher, M.B., Williamson, M.H. (eds.) Ecological Stability, pp. 141–158. Chapman & Hall, London (1974)

    Chapter  Google Scholar 

  7. Tansky, M.: Switching effects in prey-predator system. J. Theor. Biol. 70, 263–271 (1978)

    Article  MathSciNet  Google Scholar 

  8. Pal, N., Samanta, S., Chattopadhyay, J.: Revisited Hastings and Powell model with omnivory and predator switching. Chaos Solit. Fract. 66, 58–73 (2014)

    Article  MathSciNet  Google Scholar 

  9. Chattopadhyay, J., Pal, N., Samanta, S., Venturino, E., Khan, Q.J.A.: Chaos control via feeding switching in an omnivory system. BioSyst. 138, 18–24 (2015)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Visva-Bharati, Santiniketan, India

    Saheb Pal, Mainul Hossain & Nikhil Pal

  2. Department of Mathematics, King Abdulaziz University, Rabigh, Saudi Arabia

    Sudip Samanta

Authors
  1. Saheb Pal
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  2. Mainul Hossain
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  3. Sudip Samanta
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  4. Nikhil Pal
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Corresponding author

Correspondence to Nikhil Pal .

Editor information

Editors and Affiliations

  1. Department of Computer Application, RCC Institute of Information Technology, Kolkata, West Bengal, India

    Siddhartha Bhattacharyya

  2. Department of Computer Science and Engineering, University of Calcutta, Kolkata, West Bengal, India

    Nabendu Chaki

  3. Department of Computer Science and Engineering, Sikkim Manipal Institute of Technology, Majitar, Rangpo, Sikkim, India

    Debanjan Konar

  4. Department of Computer Science and Engineering, Sikkim Manipal Institute of Technology, Majitar, Rangpo, Sikkim, India

    Udit Kr. Chakraborty

  5. Department of Computer Science and Engineering, Sikkim Manipal Institute of Technology, Majitar, Rangpo, Sikkim, India

    Chingtham Tejbanta Singh

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Pal, S., Hossain, M., Samanta, S., Pal, N. (2018). Chaos Control in a Two Prey and One Predator System with Predator Switching. In: Bhattacharyya, S., Chaki, N., Konar, D., Chakraborty, U., Singh, C. (eds) Advanced Computational and Communication Paradigms. Advances in Intelligent Systems and Computing, vol 706. Springer, Singapore. https://doi.org/10.1007/978-981-10-8237-5_42

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  • DOI: https://doi.org/10.1007/978-981-10-8237-5_42

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-8236-8

  • Online ISBN: 978-981-10-8237-5

  • eBook Packages: EngineeringEngineering (R0)

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