Title :
On bifurcation analysis of the predator-prey BB-model with weak allee effect
Author :
Afef Ben Saad;Olfa Boubaker
Author_Institution :
National Institute of Applied Sciences and Technology, Centre Urbain Nord BP. 676 - 1080 Tunis Cedex, Tunisia
Abstract :
In this work, a bifurcation analysis of the predator-prey BB-model is presented by considering a weak Allee Effect on the prey. To bring out the difference between the proposed dynamical behavior and that of the BB-model with a strong Allee Effect, a local and global bifurcation analysis is presented. Finally, phase portraits and bifurcation diagrams are shown for the two cases studies to highlight the impact of the Allee Effects at low population density.
Keywords :
"Bifurcation","Stability analysis","Eigenvalues and eigenfunctions","Sociology","Statistics","Predator prey systems","Biological system modeling"
Conference_Titel :
Sciences and Techniques of Automatic Control and Computer Engineering (STA), 2015 16th International Conference on
DOI :
10.1109/STA.2015.7505150
