Title :
A Ratio-Dependent Predator-Prey Model with Logistic Growth for the Predator Population
Author :
Haque, Mainul ; Li, Bai Larry
Abstract :
Holling-Tanner model is revised with ratio-dependent functional response since ratio-dependent functional response is more appropriate when predator involves serious searching process. The essential mathematical features of the modified model have been analyzed with the help of local stability, global stability, bifurcation theory. Finally, analytical results have been interpreted in terms of ecology.
Keywords :
Bifurcation; Biological system modeling; Computational modeling; Eigenvalues and eigenfunctions; Hydrogen; Jacobian matrices; Logistics; Nonlinear equations; Predator prey systems; Stability analysis;
Conference_Titel :
Computer Modeling and Simulation, 2008. UKSIM 2008. Tenth International Conference on
Conference_Location :
Cambridge, UK
Print_ISBN :
0-7695-3114-8
DOI :
10.1109/UKSIM.2008.72
