Xu, R., Chaplain, M.A.J. and Davidson, F.A. (2005) Periodic Solutions for a Predato-Prey Model with Holling-Type Functional Response and Time Delays. Applied Mathematics and Computation, 161, 637-654.
http://dx.doi.org/10.1016/j.amc.2003.12.054

has been cited by the following article:

• TITLE: Impulsive Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on the Unification of Discrete and Continuous Systems

  AUTHORS: Ayşe Feza Güvenilir, Billur Kaymakçalan, Neslihan Nesliye Pelen

  KEYWORDS: Time Scales Calculus, Predator-Prey Dynamic Systems, Periodic Solutions, Coincidence Degree Theory, Beddington-DeAngelis Type Functional Response

  JOURNAL NAME: Applied Mathematics, Vol.6 No.9, August 28, 2015

  ABSTRACT: In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessary for the periodic solution of the predator-prey dynamic systems with Beddington-DeAngelis type functional response. For this study the main tools are time scales calculus and coincidence degree theory. Also the findings are beneficial for continuous case, discrete case and the unification of both these cases. Additionally, unification of continuous and discrete case is a good example for the modeling of the life cycle of insects.