jzs-10756

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 online: 20 December 2019

DOI Link: https://doi.org/10.17656/jzs.10754

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 Words: Prey -predator model, Herding prey, Functional responses, Stability analysis

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