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International Conference on Computational Intelligence, Cyber Security, and Computational Models

ICC3 2017: Computational Intelligence, Cyber Security and Computational Models. Models and Techniques for Intelligent Systems and Automation pp 205–213Cite as

Mathematical Modelling and Optimization of Lung Cancer in Smokers and Non Smokers

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 844))

Abstract

Cancer epidemiology is the division of epidemiology apprehensive with the disease cancer. It makes use of epidemiological methods to discover the reason for cancer and to recognize and discover advanced treatments. In this paper, we construct and analyze a discrete time mathematical model on lung cancer involving smokers and non smokers. We derive the two equilibrium points namely smoke free and smoke induced equilibrium and analyze the conditions in which the equilibrium points are stable or unstable. We also find the optimality conditions using Pontryagin’s Principle. Finally, we prove our theoretical results using numerical simulations through MATLAB.

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Authors and Affiliations

  1. Auxilium College (Autonomous), Vellore, Tamil Nadu, India

    Elizabeth Sebastian & Priyanka Victor

Authors
  1. Elizabeth Sebastian
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  2. Priyanka Victor
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Corresponding author

Correspondence to Elizabeth Sebastian .

Editor information

Editors and Affiliations

  1. PSG College of Technology, Coimbatore, India

    Geetha Ganapathi

  2. BITS Pilani, KK Birla, Goa, India

    Arumugam Subramaniam

  3. University of the Basque Country, San Sebastian, Spain

    Manuel Graña

  4. PSG College of Technology, Coimbatore, India

    Suresh Balusamy

  5. PSG College of Technology, Coimbatore, India

    Rajamanickam Natarajan

  6. PSG College of Technology, Coimbatore, India

    Periakaruppan Ramanathan

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© 2018 Springer Nature Singapore Pte Ltd.

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Cite this paper

Sebastian, E., Victor, P. (2018). Mathematical Modelling and Optimization of Lung Cancer in Smokers and Non Smokers. In: Ganapathi, G., Subramaniam, A., Graña, M., Balusamy, S., Natarajan, R., Ramanathan, P. (eds) Computational Intelligence, Cyber Security and Computational Models. Models and Techniques for Intelligent Systems and Automation. ICC3 2017. Communications in Computer and Information Science, vol 844. Springer, Singapore. https://doi.org/10.1007/978-981-13-0716-4_17

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  • DOI: https://doi.org/10.1007/978-981-13-0716-4_17

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0715-7

  • Online ISBN: 978-981-13-0716-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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