Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems
Nonlinear Analysis: Theory, Methods & Applications
Global analyses in some delayed ratio-dependent predator-prey systems
Nonlinear Analysis: Theory, Methods & Applications
| Hi-index | 0.98 |
A delayed three-species periodic Lotka-Volterra food-chain model without instantaneousnegative feedback is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness, and global stability of positive periodic solutions of the system. Computer simulations are presented to illustrate the conclusions.