一个食饵有病的捕食与被捕食模型分析

J4 ›› 2011, Vol. 49 ›› Issue (02): 191-194.

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Analysis of PredatorPrey Model with Disease in the Prey

ZHANG Yongpo¹, MA Mingjuan¹, HUANG Qingdao^2

1. Department of Foundation, Aviation University of Air Force, Changchun 130022, China;2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2010-05-19 Online:2011-03-26 Published:2011-06-14
Contact: HUANG Qingdao E-mail:hqdao@email.jlu.edu.cn

Abstract

Abstract:

A predatorprey model with disease in the prey was established and analysed. The existence of the equilibrium points and the boundedness of solution were studied. The sufficient condition of the local asymptotical stability of the boundary equilibrium was studied with the method of latent root, and furthermore, the global asymptotical stability of two boundary equilibrium points, and the local asymptotical stability of the positive equilibrium point were analyzed, with the sufficient condition of their stability obtained.

Key words: equilibrium, locally asymptotical stability, global asymptotical stability , 

CLC Number:

O175.13

ZHANG Yong-Po, MA Meng-Juan, HUANG Qiang-Dao. Analysis of PredatorPrey Model with Disease in the Prey[J].J4, 2011, 49(02): 191-194.

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Analysis of PredatorPrey Model with Disease in the Prey

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