Persistence and global stability in a delayed predator-prey system with Holling-type functional response
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AbstractA delayed predator-prey system with Holling type III functional response is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of suitable Lyapunov functionals, sufficient conditions are derived for the local and global asymptotic stability of a positive equilibrium of the system. Numerical simulations are presented to illustrate the feasibility of our main results.
2013 ◽
Vol 06
(01)
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pp. 1250064
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2014 ◽
Vol 07
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pp. 1450033
2012 ◽
Vol 2012
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pp. 1-14
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2021 ◽
2006 ◽
Vol 19
(4)
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pp. 449-460
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2008 ◽
Vol 2008
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pp. 1-17
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2006 ◽
Vol 16
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pp. 2915-2922
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