Dynamics of an Eco-Epidemiological Model Consisting of Herding Prey and Harvested Predator
Arkan N. Mustafa1
1Department of mathematics College of Education- University of Sulaimani, Sulaimani, Kurdistan Region, Iraq.
Original: 10 December 2018, Revised: 30 June 2019, Accepted: 22 July 2019, Published online20 December 2019


Abstract

In this paper, the dynamics of predator-prey interaction, only at the outer surface of herd formed by prey population and spreading SI-disease in predator population, is modeled
mathematically. The boundedness and persistence of our model are studied and local dynamical behaviors are investigated. Furthermore, the conditions that guarantee the
occurring of Hopf-bifurcation of the model are established. Finally, we confirm our analytical findings with the help of numerical simulation

Key WordsPrey -predator model, Herding prey, Functional responses, Stability analysis

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