Ahmadjan Muhammadhaji, Xamxinur Abdurahman, Dynamic analysis of competing predator-prey systems with pure delays, Vol. 2020 (2020), Article ID 39, pp. 1-16

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DOI:  https://doi.org/10.23952/jnfa.2020.39

Received November 13, 2019; Accepted September 9, 2020; Published September 21, 2020

 

Abstract. Two classes of nonautonomous three-species Lotka-Volterra type one predator-two competitive prey systems with pure discrete time delays are investigated. Some new sufficient conditions on the boundedness, the permanence, the extinction and the global attractivity of the systems are established by using the comparison method and the construction of suitable Lyapunov functional. Finally, the theoretical results are illustrated by one example with numerical simulations.

 

How to Cite this Article:
Ahmadjan Muhammadhaji, Xamxinur Abdurahman, Dynamic analysis of competing predator-prey systems with pure delays, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 39, pp. 1-16.