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Periodic Solutions of the N-Preys and M-Predators Model with Variable Rates on Time Scales

Author

Listed:
  • Shekhar Singh Negi

    (Indian Institute of Technology Mandi)

  • Syed Abbas

    (Indian Institute of Technology Mandi)

  • Muslim Malik

    (Indian Institute of Technology Mandi)

Abstract

In this paper, we establish the existence of periodic solution of a delayed predator-prey model with M -predators and N -preys over the time scales. We derive sufficient conditions for the existence of a periodic solution with the help of continuation theorem of coincidence degree theory. At the end, we give an example with numerical simulations to illustrate our analytical findings.

Suggested Citation

  • Shekhar Singh Negi & Syed Abbas & Muslim Malik, 2020. "Periodic Solutions of the N-Preys and M-Predators Model with Variable Rates on Time Scales," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(3), pages 945-967, September.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:3:d:10.1007_s13226-020-0443-3
    DOI: 10.1007/s13226-020-0443-3
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    References listed on IDEAS

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    1. Yong-Hui Xia & Xiang Gu & Patricia J. Y. Wong & Syed Abbas, 2012. "Application of Mawhin's Coincidence Degree and Matrix Spectral Theory to a Delayed System," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-19, October.
    2. Ali Sırma & Sebaheddin Ṣevgin, 2012. "A Note on Coincidence Degree Theory," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, September.
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    Cited by:

    1. Negi, Shekhar Singh & Torra, Vicenç, 2022. "Δ-Choquet integral on time scales with applications," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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