Global Stability of an Eco-Epidemiological Model with Time Delay and Saturation Incidence
2011 ◽
Vol 2011
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pp. 1-22
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Keyword(s):
We investigate a delayed eco-epidemiological model with disease in predator and saturation incidence. First, by comparison arguments, the permanence of the model is discussed. Then, we study the local stability of each equilibrium of the model by analyzing the corresponding characteristic equations and find that Hopf bifurcation occurs when the delayτpasses through a sequence of critical values. Next, by means of an iteration technique, sufficient conditions are derived for the global stability of the disease-free planar equilibrium and the positive equilibrium. Numerical examples are carried out to illustrate the analytical results.
2019 ◽
Vol 12
(06)
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pp. 1950062
2008 ◽
Vol 01
(04)
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pp. 503-520
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2014 ◽
Vol 687-691
◽
pp. 655-660
2017 ◽
Vol 10
(08)
◽
pp. 1750119
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2013 ◽
Vol 756-759
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pp. 2857-2862