Jinfeng Wang, Junping Shi, Junjie Wei
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.
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 email: jinfengwangmath@163.com |
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Junping Shi Department of Mathematics, College of William and Mary Williamsburg, VA 23187-8795, USA email: shij@math.wm.edu |
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Junjie Wei Department of Mathematics, Harbin Institute of Technology Harbin, Heilongjiang, 150001, China email: weijj@hit.edu.cn |
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