Stability analysis of a host parasite model

Advances in Difference Equations

nal Ufuktepe¹  Sinan Kapak² 

[1] Department of Mathematics, İzmir University of Economics, Balcova, Turkey

关键词: host-parasite;    predator-prey;    Beddington model;    discrete dynamical systems;   

DOI  :  10.1186/1687-1847-2013-79

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Host parasite models are similar to host parasitoid models except that the parasite does not necessarily kill the host. Leslie/Gower model (Leslie and Gower in Biometrika 47(3/4):219-234, 1960) played a historical role in ecology. We consider the stability of Misra and Mitra’s model (Misra and Mitra in Comput. Math. Appl. 52:525-538, 2006). We study this system analytically and improve the results of Misra and Mitra (Comput. Math. Appl. 52:525-538, 2006). MSC:39A11, 92D25.

【 授权许可】

CC BY