Local stability and bifurcation analysis of a discrete lotka-volterra type predator-prey system with refuge effect
Is this your thesis?
This record came from a bulk archive import. If it’s yours, link it to your profile.
Abstract (EN)
In this thesis, a discrete Lotka-Volterra type predator-prey model with refuge effect is discussed. The studied model was obtained from a continuous-time population model by utilizing the Euler method. In order to continue the analysis with fewer parameters, first of all, the system was nondimensionalized, and then the equilibrium points of the dimensionless system were found. The dynamics of the system was investigated by performing local stability analysis for each equilibrium point. In addition, the presence of flip and Neimark-Sacker bifurcation at the positive equilibrium point has been analytically demonstrated. All these analyzes were made and compared for the models with and without the refuge effect in order to examine the refuge effect on the dynamics. Obtained results supported by numerical simulations.
Author
Şevval Yıldız
Institution
How to Cite
Şevval Yıldız (Master Thesis). Local stability and bifurcation analysis of a discrete lotka-volterra type predator-prey system with refuge effect, 2021, TOBB Economics and Technology University.
Keywords
License
Tüm Hakları Saklıdır
This work is shared under the specified license terms.
More theses from TOBB Economics and Technology University
- Extracting the features of drilling foams with image processing techniques and data analysis using artificial neural networks(2007)
- Automatic web services execution engine with qos support(2007)
- Usage of information theory to control the qos and energy consumption for wireless sensor networks(2007)
- Low power techniques for superscalar microprocessors(2007)
- Hardware design for predicting widths of values produced in microprocessors(2007)
- Soft error detection by using tag comperator in microprocessors(2007)