Title :
Qualitative Analysis for a Kind of Predator-Prey Model of Holling III-Function Response with Nonlinear Density Dependent
Author :
Zheng, Wei-wei ; Luo, Li-gui ; Zhao, Lei
Author_Institution :
Sch. of Sci., Xi´´an Polytech. Univ., Xi´´an, China
Abstract :
In this paper, predator-prey model of Holling III-function response with nonlinear density dependent was discussed by the differential equation qualitative theory, the properties of equilibrium was analysed and the sufficient condition of existence and uniqueness of the limit cycle was obtained.
Keywords :
differential equations; limit cycles; predator-prey systems; Holling III-function response; differential equation qualitative theory; limit cycle uniqueness; nonlinear density dependent; predator-prey model; Analytical models; Companies; Differential equations; Educational institutions; Limit-cycles; Orbits; Predator prey systems; Nonlinear density; dependent; limit cycle; uniqueness; weak focus;
Conference_Titel :
Computational Intelligence and Security (CIS), 2011 Seventh International Conference on
Conference_Location :
Hainan
Print_ISBN :
978-1-4577-2008-6
DOI :
10.1109/CIS.2011.342
