Four predator prey models with infectious diseases

Authors:
Litao Han;Zhien Ma;H. W. Hethcote
Affiliations:
Faculty of Science, Xi'an Jiaotong University Xi'an 710049 P.R. China;Faculty of Science, Xi'an Jiaotong University Xi'an 710049 P.R. China;Department of Mathematics, University of Iowa Iowa City, IA 52242, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2001

Citing 2
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Abstract

Four modifications of a predator prey model to include an SIS or SIR parasitic infection are developed and analyzed. Thresholds are identified and global stability results are proved. When the disease persists in the prey population and the predators have a sufficient feeding efficiency to survive, the disease also persists in the predator population.