Periodic solutions of delayed predator–prey model with the Beddington–DeAngelis functional response

By Hai-Feng Huo, Wan-Tong Li, J. J. Nieto. 2007

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By using the continuation theorem based on Gaines and Mawhin’s coincidence degree, sufficient and realistic conditions are obtained for the global existence of positive periodic solutions for a delayed predator–prey model with the Beddington–DeAngelis functional response. Our results are applicable to state dependent and distributed delays.

Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/6b8cbb549e893a260e1efa3de04436e78d9d73db