Stability and invariant manifold for a predator-prey model with Allee effect

Advances in Difference Equations

nal Ufuktepe¹  Sinan Kapak³  Olcay Akman⁴ 

[1] Department of Mathematics, İDepartment of Mathematics, Illinois State University, Normal, USA;zmir University of Economics, İzmir, Turkey

关键词: Invariant Manifold;    Center Manifold;    Schwarzian Derivative;    Center Manifold Theory;    Unstable Fixed Point;   

DOI  :  10.1186/1687-1847-2013-348

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Predator-prey models are similar to host-parasite and host-parasitoid models. We investigate the stability and invariant manifolds of a discrete predator-prey model by using center manifold theory which is not addressed in Çelik and Duman (Chaos Solitons Fractals 40:1956-1962, 2009), and Wang et al. (Ecol. Complex. 8:81-85, 2011).

【 授权许可】

CC BY