4.1 Article

Four predator prey models with infectious diseases

Journal

MATHEMATICAL AND COMPUTER MODELLING
Volume 34, Issue 7-8, Pages 849-858

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0895-7177(01)00104-2

Keywords

predator; prey; infectious; thresholds; stability

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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. (C) 2001 Elsevier Science Ltd. All rights reserved.

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