ARTICLE IN PRESS
Theoretical Population Biology 66 (2004) 259–268
A predator–prey model with infected prey
Herbert W. Hethcotea,Ã, Wendi Wangb,1, Litao Hanc,2, Zhien Mad,2
aDepartment of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242, USA
bDepartment of Mathematics, Southwest Normal University, Chongqing 400715, PR China
cDepartment of Research on Virology and Immunology, National Center for AIDS/STD Control and Prevention, 27 Nanwei Road, Beijing 100050,
PR China
dFaculty of Science, Xi’an Jiaotong University, Xi’an 710049, PR China
Received 22 December 2003
Available online 13 September 2004
Abstract
A predator–prey model with logistic growth in the prey is modified to include an SIS parasitic infection in the prey with infected
prey being more vulnerable to predation. Thresholds are identified which determine when the predator population survives and
when the disease remains endemic. For some parameter values the greater vulnerability ofthe infected
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