Neslihan Nesliye Pelen, Mehmet Emir Koksal
Abstract:
Liu et al [14] found necessary and sufficient conditions for
the existence of periodic solutions of the predator-prey dynamical systems
with semi-ratio dependent generalized functional response. In this work, we
obtain a globally attractive or globally asymptotically stable periodic
solution for the time scale
is taken as
,
with a small change on the condition over generalized functional response
on the prey.
Submitted June 3, 2016. Published January 5, 2017.
Math Subject Classifications: 92D25, 34C25, 34N05.
Key Words: Predator-prey systems; semi-ratio dependent functional response;
stability analysis.
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Neslihan Nesliye Pelen Department of Mathematics Ondokuz Mayis University 55139 Atakum, Samsun, Turkey email: neslihan.pelen@omu.edu.tr | |
Mehmet Emir Koksal Department of Mathematics Ondokuz Mayis University 55139 Atakum, Samsun, Turkey email: mekoksal@omu.edu.tr |
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