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《Journal of Mathematical Medicine》 2010-06
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Global Analysis of an SI Predator-prey Epidemic Model with Vertical Transmission

Liu Shuo,et al(Faculty of Biomedical Engineering,The Fourth Military Medical University,Xi'an 710032)  
By assuming that disease only exists in the predator species,the infectives have the ability of vertical transmission,the infectives can be cured and the recovered have permanent immunity,and the disease affects predationrate,an SI predator-prey epidemic model with vertical transmission is investigated.By constructing the liapunov functions,the sufficient and necessary conditions of the global stabilities of the corresponding equilibriumof the model are obtained.
【CateGory Index】: O175.1
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【Citations】
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【Co-citations】
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1 SHI Rui-feng,LIU Ying-dong(School of Science,Beijing Jiaotong University,Beijing 100044,China);Global Stability on Constant Equilibria of A SIRS Model with Diffusion Terms[J];Journal of Beijing Jiaotong University;2006-06
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