Jinfeng Wang, Junping Shi, Junjie Wei
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.
Submitted March 25, 2013. Published July 19, 2013.
Math Subject Classifications: 34C25, 34D23, 92D25.
Key Words: Predator-prey system; nonexistence of periodic orbits; Dulac criterion; global bifurcation.
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| Jinfeng Wang |
School of Mathematical Science
Harbin Normal University
Harbin, Heilongjiang, 150025, China
| Junping Shi |
Department of Mathematics, College of William and Mary
Williamsburg, VA 23187-8795, USA
| Junjie Wei |
Department of Mathematics, Harbin Institute of Technology
Harbin, Heilongjiang, 150001, China
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