- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
The Dynamics of Holling Type IV Prey Predator Model with Intra- Specific Competition | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 54, Issue 2, 2013, Pages 386-396 | ||
| Authors | ||
| Rehab N. Shalan; Raid K.Naji | ||
| Abstract | ||
| In this paper a prey-predator model involving Holling type IV functional response and intra-specific competition is proposed and analyzed. The local stability analysis of the system is carried out. The occurrence of a simple Hopf bifurcation is investigated. The global dynamics of the system is investigated with the help of the Lyapunov function and poincare-bendixson theorem. Finally, the numerical simulation is used to study the global dynamical behavior of the system. It is observed that, the system has either stable point or periodic dynamics. | ||
| Keywords | ||
| Holling type IV functional response; equilibrium points; stability and Hopf bifurcation | ||
|
Statistics Article View: 15 PDF Download: 5 |
||