Electronic Journal of Differential Equations
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.
Wang, J., Shi, J., & Wei, J. (2013). Nonexistence of periodic orbits for predator-prey system with strong Allee effect in prey populations. Electronic Journal of Differential Equations, 2013(164), 1-14.