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
Journal ISSN
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