Electron. J. Differential Equations, Vol. 2017 (2017), No. 03, pp. 1-12.

Necessary and sufficient conditions for the existence of periodic solutions in a predator-prey model

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 $\mathbb{T}$ is taken as $\mathbb{R}$, 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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