Dynamics of an Eco-Epidemiological Model Consisting of Herding Prey and Harvested Predator

Volume 21 , Issue 2 , December 2019 , Pages 45-56

Authors

Arkan N. Mustafa 1

1 College of Education- University of Sulaimani, Sulaimaniyah-Iraq

DOI logo 10.17656/jzs.10756

Keywords

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

Statistics
  • Article view483
  • Downloads3
  • Published at20 December 2019

  • RIS
  • BibTeX
  • EndNote
  • Mendeley
  • APA (7th edition)
  • MLA (9th edition)
  • Chicago
  • Harvard
  • IEEE
  • Vancouver