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Nonexistence of Periodic Orbits for Predator-Prey System with Strong Allee Effect in Prey Populations
Wang, Jinfeng Shi, Junping Wei, Junjie
Wang, Jinfeng
Shi, Junping
Wei, Junjie
Abstract
We use Dulac criterion to prove the nonexistence of periodic orbits for a class of general predator-prey system with strong Allee effect in the prey population growth. This completes the global bifurcation analysis of typical predator-prey systems with strong Allee effect for all possible parameters.
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2013-01-01
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Mathematics