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Dynamical analysis of a fractional-order eco-epidemiological model with infected predator and prey harvesting
  • Mahmoud Moustafa,
  • Farah ABDULLAH,
  • sharidan shafie
Mahmoud Moustafa
Universiti Teknologi Malaysia

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Farah ABDULLAH
Universiti Sains Malaysia
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sharidan shafie
Universiti Teknologi Malaysia
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Abstract

This paper is concerned with a fractional-order eco-epidemiological model with disease in predator species and prey harvesting. The nonlinear incidence rate and Monod-Haldane functional response for interactions between species are considered. The existence, uniqueness, non-negativity and boundedness of solutions are established for this fractional-order model. Some sufficient conditions are obtained to ensure the local asymptotic stability of equilibrium points. The proposed fractional-order model is very sensitive to varying the fractional-order, prey harvesting and initial conditions. Theoretical results are illustrated by using numerical simulations.