Global Stability of a Non-Smooth Predator–Prey System with Holling I Functional Response and Refuge Effect
2014 ◽
Vol 595
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pp. 283-288
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Keyword(s):
This paper analyses the dynamics of a non-smooth predator-prey model with refuge effect, where the functional response is taken as Holling I type. To begin with, some preliminaries and the existence of regular, virtual, pseudo-equilibrium and tangent point are established. Then, the stability of trivial equilibrium and predator free equilibrium is discussed. Furthermore, it is shown that the regular equilibrium and the pseudo-equilibrium cannot coexist. Finally, the conclusion is given.
2019 ◽
Vol 20
(2)
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pp. 125-136
2013 ◽
Vol 805-806
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pp. 1957-1961
2016 ◽
Vol 26
(10)
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pp. 1650165
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2011 ◽
Vol 271-273
◽
pp. 577-580
Keyword(s):
2012 ◽
Vol 2012
◽
pp. 1-14
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2010 ◽
Vol 2010
◽
pp. 1-24
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