PERIODIC SOLUTIONS OF A DISCRETE TIME THREE-SPECIES LOTKA-VOLTERRA FOOD-CHAIN SYSTEM

Rui Xu, M.A.J. Chaplain, F.A. Davidson

Abstract


A discrete time periodic three trophic level Lotka-Volterra foodchain system is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory, sufficient conditions are derived for the existence of positive periodic solutions of the proposed system.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea