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Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking. (English) Zbl 1057.34092
The authors study Lotka-Volterra competition patch systems with stocking. The goal of the paper is to derive a set of easily verifiable conditions for the existence and global attractivity of positive periodic solutions of the systems under consideration. To this end, the authors use Mawhin’s continuation theorem from the theory of the coincidence degree and Lyapunov functionals.
MSC:
34K13Periodic solutions of functional differential equations
34K20Stability theory of functional-differential equations
92D25Population dynamics (general)