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Discrete-Time Eco-epidemiological Model with Disease in Prey and Holling Type III Functional Response

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Proceedings of Fifth International Conference on Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 437))

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Abstract

In this paper, we propose a discrete-time eco-epidemiological model with disease in prey incorporating Holling type III functional response and harvesting of prey. Bilinear incidence rate is used to model the contact process. We incorporate harvesting of both the susceptible and infected prey populations. We consider that the predator population will prefer only the infected prey population as the infected ones are more vulnerable. We derive the basic reproduction number of the eco-epidemiological model. We find the equilibrium points of the model and analyse the conditions for their stability. Finally, we carry out simulations to illustrate our analytical findings.

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Authors and Affiliations

  1. Auxilium College (Autonomous), Gandhi Nagar, Vellore, 632006, Tamil Nadu, India

    Elizabeth Sebastian,  Priyanka Victor &  Preethi Victor

Authors
  1. Elizabeth Sebastian
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  2. Priyanka Victor
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  3. Preethi Victor
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Corresponding author

Correspondence to Elizabeth Sebastian .

Editor information

Editors and Affiliations

  1. Dept of Applied Sci & Eng, Indian Instit of Tech Roorkee, Roorkee, India

    Millie Pant

  2. Department of Mathematics, Indian Inst of Tech Roorkee, Roorkee, India

    Kusum Deep

  3. Dept of Mathematics, South Asian University New Delhi, New Delhi, India

    Jagdish Chand Bansal

  4. Department of Mathematics and Comp Sci, Liverpool Hope University, LIVERPOOL, United Kingdom

    Atulya Nagar

  5. Department of Mathematics, National Inst of Tech Silchar, Silchar, Assam, India

    Kedar Nath Das

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© 2016 Springer Science+Business Media Singapore

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Elizabeth Sebastian, Priyanka Victor, Preethi Victor (2016). Discrete-Time Eco-epidemiological Model with Disease in Prey and Holling Type III Functional Response. In: Pant, M., Deep, K., Bansal, J., Nagar, A., Das, K. (eds) Proceedings of Fifth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 437. Springer, Singapore. https://doi.org/10.1007/978-981-10-0451-3_31

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  • DOI: https://doi.org/10.1007/978-981-10-0451-3_31

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0450-6

  • Online ISBN: 978-981-10-0451-3

  • eBook Packages: EngineeringEngineering (R0)

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