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THE IMPACT OF DISEASE AND HARVESTING ON THE DYNAMICAL BEHAVIOR OF PREY PREDATOR MODEL | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 53, Issue 1, 2012, Pages 130-139 | ||
| Authors | ||
| Hiba Abdullah Ibrahim; Riad Kamel Naji | ||
| Abstract | ||
| In this paper, a harvested prey-predator model involving infectious disease in prey is considered. The existence, uniqueness and boundedness of the solution are discussed. The stability analysis of all possible equilibrium points are carried out. The persistence conditions of the system are established. The behavior of the system is simulated and bifurcation diagrams are obtained for different parameters. The results show that the existence of disease and harvesting can give rise to multiple attractors, including chaos, with variations in critical parameters. | ||
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