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Dynamical analysis of a fractional order eco-epidemiological model with nonlinear incidence rate and prey refuge

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Abstract

In this paper, a fractional order eco-epidemiological model with nonlinear incidence rate is studied. The populations are divided into healthy prey, infected prey and predator. A prey refuge was introduced in the healthy prey population to make the model more realistic. Various qualitative properties including local and global stability analysis of equilibrium points are investigated. The theoretical results are verified by numerical simulations. The fractional order model is shown to have rich dynamical behavior including bistability phenomena, supercritical Hopf bifurcation, subcritical Hopf bifurcation and transcritical bifurcation.

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Acknowledgements

The financial support of Universiti Sains Malaysia is acknowledged. We also acknowledge discussions with colleagues at various conferences.

Funding

This work was supported by the Fundamental Research Grant Scheme (Sponsor-Ministry of Education Malaysia (MOE) Acct No: 203/PMATHS/6711570), Bridging Grant scheme (Sponsor: Research Creativity and Management Office (RCMO), Universiti Sains Malaysia, Acct no: 304/PMATHS/6316285).

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  1. School of Mathematical Sciences, Universiti Sains Malaysia, Pulau, Pinang, Malaysia

    Mahmoud Moustafa, Mohd Hafiz Mohd, Ahmad Izani Ismail & Farah Aini Abdullah

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  1. Mahmoud Moustafa
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Moustafa, M., Mohd, M.H., Ismail, A.I. et al. Dynamical analysis of a fractional order eco-epidemiological model with nonlinear incidence rate and prey refuge. J. Appl. Math. Comput. 65, 623–650 (2021). https://doi.org/10.1007/s12190-020-01408-6

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