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

Date

2017-01-05

Authors

Pelen, Neslihan Nesliye
Koksal, Mehmet Emir

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

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 Τ is taken as ℝ, with a small change on the condition over generalized functional response on the prey.

Description

Keywords

Predator-prey systems, Semi-ratio dependent functional response, Stability analysis

Citation

Pelen, N. N., & Koksal, M. E. (2017). Necessary and sufficient conditions for the existence of periodic solutions in a predator-prey model. <i>Electronic Journal of Differential Equations, 2017</i>(03), pp. 1-12.

Rights

Attribution 4.0 International

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