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Zbl 0922.34036
Chattopadhyay, J.; Arino, O.
A predator-prey model with disease in the prey. (English)
[J] Nonlinear Anal., Theory Methods Appl. 36, No. 6, B, 747-766 (1999). ISSN 0362-546X

The authors consider an eco-epidemiological system consisting of three species, namely, the sound prey, the infected prey and the predator population. Persistence and extinction conditions of the populations are derived and conditions are determined for which the system enters a Hopf-type bifurcation. Moreover, the fact is observed for which the bifurcated branches are supercritical in some parametric region space in a special case when the predator response function is a Holling-type II function.
[Jihong Dou (Xian)]

MSC 2000:: *34C23 Bifurcation (periodic solutions)
92D25 Population dynamics
92D40 Ecology

Keywords: predator-prey model; disease; eco-epidemiological system; populations; Hopf-type bifurcation; Holling-type II function

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